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Título : Differential-Algebraic Equations: A Projector Based Analysis Tipo de documento: documento electrónico Autores: René Lamour ; SpringerLink (Online service) ; Roswitha März ; Caren Tischendorf Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Differential-Algebraic Equations Forum, ISSN 2199-7497 Número de páginas: XXVII, 649 p. 24 illus., 19 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-642-27555-5 Idioma : Inglés (eng) Palabras clave: Mathematics Differential equations Applied mathematics Engineering Computer Ordinary Equations Applications of Computational and Numerical Analysis Clasificación: 51 Matemáticas Resumen: Differential algebraic equations (DAEs), including so-called descriptor systems, began to attract significant research interest in applied and numerical mathematics in the early 1980s, no more than about three decades ago. In this relatively short time, DAEs have become a widely acknowledged tool to model processes subjected to certain constraints in order to simulate and to control processes in various application fields such as network simulation, chemical kinematics, mechanical engineering and systems biology. DAEs and their more abstract versions in infinite dimensional spaces comprise a great potential for the future mathematical modeling of complex coupled processes. The purpose of the book is to expose the impressive complexity of general DAEs from an analytical point of view, to describe the state of the art as well as open problems and in so doing to motivate further research of this versatile, extraordinary topic from a broader mathematical perspective. The book elaborates on a new general, structural analysis capturing linear and nonlinear DAEs in a hierarchical way. The DAE structure is exposed by means of special projector functions. Some issues on numerical integration and computational aspects are also treated in this context Nota de contenido: Notations -- Introduction -- Part I. Projector based approach -- 1 Linear constant coefficient DAEs.-.2 Linear DAEs with variable coefficients -- 3 Nonlinear DAEs -- Part II. Index-1 DAEs: Analysis and numerical treatment -- 4 Analysis -- 5 Numerical integration -- 6 Stability issues -- Part III. Computational aspects -- 7 Computational linear algebra aspects -- 8 Aspects of the numerical treatment of higher index DAEs -- Part IV. Advanced topics -- 9 Quasi-regular DAEs -- 10 Nonregular DAEs -- 11 Minimization with constraints described by DAEs -- 12 Abstract differential algebraic equations -- A. Linear Algebra – Basics.-.B. Technical Computations -- C Analysis -- References -- Index En línea: http://dx.doi.org/10.1007/978-3-642-27555-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32496 Differential-Algebraic Equations: A Projector Based Analysis [documento electrónico] / René Lamour ; SpringerLink (Online service) ; Roswitha März ; Caren Tischendorf . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013 . - XXVII, 649 p. 24 illus., 19 illus. in color : online resource. - (Differential-Algebraic Equations Forum, ISSN 2199-7497) .
ISBN : 978-3-642-27555-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Differential equations Applied mathematics Engineering Computer Ordinary Equations Applications of Computational and Numerical Analysis Clasificación: 51 Matemáticas Resumen: Differential algebraic equations (DAEs), including so-called descriptor systems, began to attract significant research interest in applied and numerical mathematics in the early 1980s, no more than about three decades ago. In this relatively short time, DAEs have become a widely acknowledged tool to model processes subjected to certain constraints in order to simulate and to control processes in various application fields such as network simulation, chemical kinematics, mechanical engineering and systems biology. DAEs and their more abstract versions in infinite dimensional spaces comprise a great potential for the future mathematical modeling of complex coupled processes. The purpose of the book is to expose the impressive complexity of general DAEs from an analytical point of view, to describe the state of the art as well as open problems and in so doing to motivate further research of this versatile, extraordinary topic from a broader mathematical perspective. The book elaborates on a new general, structural analysis capturing linear and nonlinear DAEs in a hierarchical way. The DAE structure is exposed by means of special projector functions. Some issues on numerical integration and computational aspects are also treated in this context Nota de contenido: Notations -- Introduction -- Part I. Projector based approach -- 1 Linear constant coefficient DAEs.-.2 Linear DAEs with variable coefficients -- 3 Nonlinear DAEs -- Part II. Index-1 DAEs: Analysis and numerical treatment -- 4 Analysis -- 5 Numerical integration -- 6 Stability issues -- Part III. Computational aspects -- 7 Computational linear algebra aspects -- 8 Aspects of the numerical treatment of higher index DAEs -- Part IV. Advanced topics -- 9 Quasi-regular DAEs -- 10 Nonregular DAEs -- 11 Minimization with constraints described by DAEs -- 12 Abstract differential algebraic equations -- A. Linear Algebra – Basics.-.B. Technical Computations -- C Analysis -- References -- Index En línea: http://dx.doi.org/10.1007/978-3-642-27555-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32496 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Differential Equations, Chaos and Variational Problems / SpringerLink (Online service) ; Staicu, Vasile (2008)
Título : Differential Equations, Chaos and Variational Problems Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Staicu, Vasile Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2008 Colección: Progress in Nonlinear Differential Equations and Their Applications num. 75 Número de páginas: XIII, 435 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8482-1 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Dynamics Ergodic theory Differential equations Calculus of variations Ordinary Equations Variations and Optimal Control; Optimization Dynamical Systems Theory Clasificación: 51 Matemáticas Resumen: Differential equations are a fast evolving branch of mathematics and one of the mathematical tools most used by scientists and engineers. This book gathers a collection of original articles and state-of-the-art contributions, written by highly distinguished researchers working in differential equations, delay-differential equations, differential inclusions, variational problems, Young measures, control theory, dynamical systems, chaotic systems and their relations with physical systems. The forefront of research in these areas is represented in this volume. The book and all contributions are dedicated to Arrigo Cellina and James A. Yorke on their 65th anniversary. Their remarkable scientific career covered all the above areas and was one of the main driving forces behind the work of many of the authors and the editor of this volume. For researchers and graduate students in mathematics, physics and engineering, the material in this book will be a valuable resource, and a tool for everyone working in differential equations, chaos and variational problems. It brings the reader to the frontiers of research in the areas mentioned above and will stimulate further research Nota de contenido: Nodal and Multiple Constant Sign Solution for Equations with the p-Laplacian -- A Young Measures Approach to Averaging -- Viability Kernels and Capture Basins for Analyzing the Dynamic Behavior: Lorenz Attractors, Julia Sets, and Hutchinson’s Maps -- Generalized Steiner Selections Applied to Standard Problems of Set-Valued Numerical Analysis -- On the Euler-Lagrange Equation for a Variational Problem -- Singular Limits for Impulsive Lagrangian Systems with Dissipative Sources -- Lipschitz Continuity of Optimal Trajectories in Deterministic Optimal Control -- An Overview on Existence of Vector Minimizers for Almost Convex 1—dim Integrals -- Strict Convexity, Comparison Results and Existence of Solutions to Variational Problems -- Necessary Optimality Conditions for Discrete Delay Inclusions -- Necessary Conditions in Optimal Control and in the Calculus of Variations -- Almost Periodicity in Functional Equations -- Age-dependent Population Dynamics with the Delayed Argument -- Chaos in the Störmer Problem -- Hausdorff Dimension versus Smoothness -- On Bounded Trajectories for Some Non-Autonomous Systems -- On Generalized Differential Quotients and Viability -- Nonlinear Prediction in Riverflow — the Paiva River Case -- Shadowing in Higher Dimensions -- Boundary Value Problems for Nonlinear Perturbations of Singular ?-Laplacians -- Existence, Nonexistence and Multiplicity Results for Some Beam Equations -- Reducing a Differential Game to a Pair of Optimal Control Problems -- Optimal Control of Nonconvex Differential Inclusions -- On Chaos of a Cubic p-adic Dynamical System -- Some New Concepts of Dimension -- Degree Theory and Almost Periodic Problems -- L ?-Energy Method, Basic Tools and Usage -- On the Singular Set of Certain Potential Operators in Hilbert Spaces -- Shape and Conley Index of Attractors and Isolated Invariant Sets -- Regularity of Solutions for the Autonomous Integrals of the Calculus of Variations -- Multi-modal Periodic Trajectories in Fermi-Pasta-Ulam Chains -- Control of Transient Chaos Using Safe Sets in Simple Dynamical Systems En línea: http://dx.doi.org/10.1007/978-3-7643-8482-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34390 Differential Equations, Chaos and Variational Problems [documento electrónico] / SpringerLink (Online service) ; Staicu, Vasile . - Basel : Birkhäuser Basel, 2008 . - XIII, 435 p : online resource. - (Progress in Nonlinear Differential Equations and Their Applications; 75) .
ISBN : 978-3-7643-8482-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Dynamics Ergodic theory Differential equations Calculus of variations Ordinary Equations Variations and Optimal Control; Optimization Dynamical Systems Theory Clasificación: 51 Matemáticas Resumen: Differential equations are a fast evolving branch of mathematics and one of the mathematical tools most used by scientists and engineers. This book gathers a collection of original articles and state-of-the-art contributions, written by highly distinguished researchers working in differential equations, delay-differential equations, differential inclusions, variational problems, Young measures, control theory, dynamical systems, chaotic systems and their relations with physical systems. The forefront of research in these areas is represented in this volume. The book and all contributions are dedicated to Arrigo Cellina and James A. Yorke on their 65th anniversary. Their remarkable scientific career covered all the above areas and was one of the main driving forces behind the work of many of the authors and the editor of this volume. For researchers and graduate students in mathematics, physics and engineering, the material in this book will be a valuable resource, and a tool for everyone working in differential equations, chaos and variational problems. It brings the reader to the frontiers of research in the areas mentioned above and will stimulate further research Nota de contenido: Nodal and Multiple Constant Sign Solution for Equations with the p-Laplacian -- A Young Measures Approach to Averaging -- Viability Kernels and Capture Basins for Analyzing the Dynamic Behavior: Lorenz Attractors, Julia Sets, and Hutchinson’s Maps -- Generalized Steiner Selections Applied to Standard Problems of Set-Valued Numerical Analysis -- On the Euler-Lagrange Equation for a Variational Problem -- Singular Limits for Impulsive Lagrangian Systems with Dissipative Sources -- Lipschitz Continuity of Optimal Trajectories in Deterministic Optimal Control -- An Overview on Existence of Vector Minimizers for Almost Convex 1—dim Integrals -- Strict Convexity, Comparison Results and Existence of Solutions to Variational Problems -- Necessary Optimality Conditions for Discrete Delay Inclusions -- Necessary Conditions in Optimal Control and in the Calculus of Variations -- Almost Periodicity in Functional Equations -- Age-dependent Population Dynamics with the Delayed Argument -- Chaos in the Störmer Problem -- Hausdorff Dimension versus Smoothness -- On Bounded Trajectories for Some Non-Autonomous Systems -- On Generalized Differential Quotients and Viability -- Nonlinear Prediction in Riverflow — the Paiva River Case -- Shadowing in Higher Dimensions -- Boundary Value Problems for Nonlinear Perturbations of Singular ?-Laplacians -- Existence, Nonexistence and Multiplicity Results for Some Beam Equations -- Reducing a Differential Game to a Pair of Optimal Control Problems -- Optimal Control of Nonconvex Differential Inclusions -- On Chaos of a Cubic p-adic Dynamical System -- Some New Concepts of Dimension -- Degree Theory and Almost Periodic Problems -- L ?-Energy Method, Basic Tools and Usage -- On the Singular Set of Certain Potential Operators in Hilbert Spaces -- Shape and Conley Index of Attractors and Isolated Invariant Sets -- Regularity of Solutions for the Autonomous Integrals of the Calculus of Variations -- Multi-modal Periodic Trajectories in Fermi-Pasta-Ulam Chains -- Control of Transient Chaos Using Safe Sets in Simple Dynamical Systems En línea: http://dx.doi.org/10.1007/978-3-7643-8482-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34390 Ejemplares
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Título : Differential and Difference Equations with Applications : Contributions from the International Conference on Differential & Difference Equations and Applications Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Pinelas, Sandra ; Michel Chipot ; Zuzana Dosla Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009 num. 47 Número de páginas: XI, 665 p. 67 illus., 37 illus. in color Il.: online resource ISBN/ISSN/DL: 978-1-4614-7333-6 Idioma : Inglés (eng) Palabras clave: Mathematics Difference equations Functional Dynamics Ergodic theory Integral Differential Partial differential Ordinary Equations and Dynamical Systems Theory Clasificación: 51 Matemáticas Resumen: The volume contains carefully selected papers presented at the International Conference on Differential & Difference Equations and Applications held in Ponta Delgada – Azores, from July 4-8, 2011 in honor of Professor Ravi P. Agarwal. The objective of the gathering was to bring together researchers in the fields of differential & difference equations and to promote the exchange of ideas and research. The papers cover all areas of differential and difference equations with a special emphasis on applications Nota de contenido: Ondrej Dosly -- Robert Finn -- Nadezhda Konyukhova -- Roman Koplotadze -- Sergey Korotov -- Ulrich Krause.-Jean Mawhin -- Felix Sadyrbaev -- Stefan Siegmund -- I.P. Stavroulakis -- Jeff Webb -- Patricia Wong -- Agacik Zafer -- Fábio Zanolin -- María Anguiano -- Irina Astashova -- Basem Attili -- Giles Auchmuty -- Blanka Baculikova -- Jung-Chao Ban -- Luciano Barbanti -- Michal Benes -- Joel Blot -- Gabrielle Bonanno -- Alberto Boscaggin -- Pasquale Candito -- Tomás Caraballo -- Valery Covachev -- Miguel Brito da Cruz -- Irada Dzhalladova -- Jozef Dzurina -- Svetlana Ezhak -- Silvia Gago -- Isaac A. García -- Shapour Heidarkhani -- Gabriela Holubova -- Gennaro Infante -- Vladimir Jacimovic -- Fatma Karakoc -- Elena Karulina -- Elena Kostousova -- Pedro Lima -- Somayeh Mahdavi -- Natália Martins -- Helena Melo -- Maryam Mirzapour -- Mesliza Mohamed -- Maria Luisa Morgado -- Ralph Oberste-Vorth -- Ana Pedro -- Stella Vernier Piro -- Andrejs Reinfelds -- Helia Serrano -- Naoki Shioji -- Walter Sizer -- Francisco Suárez-Grau -- Volodymyr Sushch -- Vladimir Vasilyev -- Junfang Zhao -- Nikolaos Zographopoulos En línea: http://dx.doi.org/10.1007/978-1-4614-7333-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32350 Differential and Difference Equations with Applications : Contributions from the International Conference on Differential & Difference Equations and Applications [documento electrónico] / SpringerLink (Online service) ; Pinelas, Sandra ; Michel Chipot ; Zuzana Dosla . - New York, NY : Springer New York : Imprint: Springer, 2013 . - XI, 665 p. 67 illus., 37 illus. in color : online resource. - (Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009; 47) .
ISBN : 978-1-4614-7333-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Difference equations Functional Dynamics Ergodic theory Integral Differential Partial differential Ordinary Equations and Dynamical Systems Theory Clasificación: 51 Matemáticas Resumen: The volume contains carefully selected papers presented at the International Conference on Differential & Difference Equations and Applications held in Ponta Delgada – Azores, from July 4-8, 2011 in honor of Professor Ravi P. Agarwal. The objective of the gathering was to bring together researchers in the fields of differential & difference equations and to promote the exchange of ideas and research. The papers cover all areas of differential and difference equations with a special emphasis on applications Nota de contenido: Ondrej Dosly -- Robert Finn -- Nadezhda Konyukhova -- Roman Koplotadze -- Sergey Korotov -- Ulrich Krause.-Jean Mawhin -- Felix Sadyrbaev -- Stefan Siegmund -- I.P. Stavroulakis -- Jeff Webb -- Patricia Wong -- Agacik Zafer -- Fábio Zanolin -- María Anguiano -- Irina Astashova -- Basem Attili -- Giles Auchmuty -- Blanka Baculikova -- Jung-Chao Ban -- Luciano Barbanti -- Michal Benes -- Joel Blot -- Gabrielle Bonanno -- Alberto Boscaggin -- Pasquale Candito -- Tomás Caraballo -- Valery Covachev -- Miguel Brito da Cruz -- Irada Dzhalladova -- Jozef Dzurina -- Svetlana Ezhak -- Silvia Gago -- Isaac A. García -- Shapour Heidarkhani -- Gabriela Holubova -- Gennaro Infante -- Vladimir Jacimovic -- Fatma Karakoc -- Elena Karulina -- Elena Kostousova -- Pedro Lima -- Somayeh Mahdavi -- Natália Martins -- Helena Melo -- Maryam Mirzapour -- Mesliza Mohamed -- Maria Luisa Morgado -- Ralph Oberste-Vorth -- Ana Pedro -- Stella Vernier Piro -- Andrejs Reinfelds -- Helia Serrano -- Naoki Shioji -- Walter Sizer -- Francisco Suárez-Grau -- Volodymyr Sushch -- Vladimir Vasilyev -- Junfang Zhao -- Nikolaos Zographopoulos En línea: http://dx.doi.org/10.1007/978-1-4614-7333-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32350 Ejemplares
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Título : Differential Equations with Symbolic Computation Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Dongming Wang ; Zhiming Zheng Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2005 Colección: Trends in Mathematics Número de páginas: VIII, 374 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7429-7 Idioma : Inglés (eng) Palabras clave: Mathematics Partial differential equations Computer mathematics Differential Equations Computational and Numerical Analysis Clasificación: 51 Matemáticas Nota de contenido: Symbolic Computation of Lyapunov Quantities and the Second Part of Hilbert’s Sixteenth Problem -- Estimating Limit Cycle Bifurcations from Centers -- Conditions of Infinity to be an Isochronous Center for a Class of Differential Systems -- Darboux Integrability and Limit Cycles for a Class of Polynomial Differential Systems -- Time-Reversibility in Two-Dimensional Polynomial Systems -- On Symbolic Computation of the LCE of N-Dimensional Dynamical Systems -- Symbolic Computation for Equilibria of Two Dynamic Models -- Attractive Regions in Power Systems by Singular Perturbation Analysis -- Algebraic Multiplicity and the Poincaré Problem -- Formalizing a Reasoning Strategy in Symbolic Approach to Differential Equations -- Looking for Periodic Solutions of ODE Systems by the Normal Form Method -- Algorithmic Reduction and Rational General Solutions of First Order Algebraic Differential Equations -- Factoring Partial Differential Systems in Positive Characteristic -- On the Factorization of Differential Modules -- Continuous and Discrete Homotopy Operators and the Computation of Conservation Laws -- Partial and Complete Linearization of PDEs Based on Conservation Laws -- CONSLAW: A Maple Package to Construct the Conservation Laws for Nonlinear Evolution Equations -- Generalized Differential Resultant Systems of Algebraic ODEs and Differential Elimination Theory -- On “Good” Bases of Algebraico-Differential Ideals -- On the Construction of Groebner Basis of a Polynomial Ideal Based on Riquier—Janet Theory En línea: http://dx.doi.org/10.1007/3-7643-7429-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35347 Differential Equations with Symbolic Computation [documento electrónico] / SpringerLink (Online service) ; Dongming Wang ; Zhiming Zheng . - Basel : Birkhäuser Basel, 2005 . - VIII, 374 p : online resource. - (Trends in Mathematics) .
ISBN : 978-3-7643-7429-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Partial differential equations Computer mathematics Differential Equations Computational and Numerical Analysis Clasificación: 51 Matemáticas Nota de contenido: Symbolic Computation of Lyapunov Quantities and the Second Part of Hilbert’s Sixteenth Problem -- Estimating Limit Cycle Bifurcations from Centers -- Conditions of Infinity to be an Isochronous Center for a Class of Differential Systems -- Darboux Integrability and Limit Cycles for a Class of Polynomial Differential Systems -- Time-Reversibility in Two-Dimensional Polynomial Systems -- On Symbolic Computation of the LCE of N-Dimensional Dynamical Systems -- Symbolic Computation for Equilibria of Two Dynamic Models -- Attractive Regions in Power Systems by Singular Perturbation Analysis -- Algebraic Multiplicity and the Poincaré Problem -- Formalizing a Reasoning Strategy in Symbolic Approach to Differential Equations -- Looking for Periodic Solutions of ODE Systems by the Normal Form Method -- Algorithmic Reduction and Rational General Solutions of First Order Algebraic Differential Equations -- Factoring Partial Differential Systems in Positive Characteristic -- On the Factorization of Differential Modules -- Continuous and Discrete Homotopy Operators and the Computation of Conservation Laws -- Partial and Complete Linearization of PDEs Based on Conservation Laws -- CONSLAW: A Maple Package to Construct the Conservation Laws for Nonlinear Evolution Equations -- Generalized Differential Resultant Systems of Algebraic ODEs and Differential Elimination Theory -- On “Good” Bases of Algebraico-Differential Ideals -- On the Construction of Groebner Basis of a Polynomial Ideal Based on Riquier—Janet Theory En línea: http://dx.doi.org/10.1007/3-7643-7429-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35347 Ejemplares
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Título : Differential Geometry and Analysis on CR Manifolds Tipo de documento: documento electrónico Autores: Sorin Dragomir ; SpringerLink (Online service) ; Giuseppe Tomassini Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2006 Colección: Progress in Mathematics num. 246 Número de páginas: XVI, 488 p Il.: online resource ISBN/ISSN/DL: 978-0-8176-4483-3 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Global Manifolds Partial differential equations Functions of complex variables Differential geometry Geometry and on Equations Several Complex Variables Analytic Spaces Clasificación: 51 Matemáticas Resumen: The study of CR manifolds lies at the intersection of three main mathematical disciplines: partial differential equations, complex analysis in several complex variables, and differential geometry. While the PDE and complex analytic aspects have been intensely studied in the last fifty years, much effort has recently been made to understand the differential geometric side of the subject. This monograph provides a unified presentation of several differential geometric aspects in the theory of CR manifolds and tangential Cauchy–Riemann equations. It presents the major differential geometric acheivements in the theory of CR manifolds, such as the Tanaka–Webster connection, Fefferman's metric, pseudo-Einstein structures and the Lee conjecture, CR immersions, subelliptic harmonic maps as a local manifestation of pseudoharmonic maps from a CR manifold, Yang–Mills fields on CR manifolds, to name a few. It also aims at explaining how certain results from analysis are employed in CR geometry. Motivated by clear exposition, many examples, explicitly worked-out geometric results, and stimulating unproved statements and comments referring to the most recent aspects of the theory, this monograph is suitable for researchers and graduate students in differential geometry, complex analysis, and PDEs Nota de contenido: CR Manifolds -- The Fefferman Metric -- The CR Yamabe Problem -- Pseudoharmonic Maps -- Pseudo-Einsteinian Manifolds -- Pseudo-Hermitian Immersions -- Quasiconformal Mappings -- Yang-Mills Fields on CR Manifolds -- Spectral Geometry En línea: http://dx.doi.org/10.1007/0-8176-4483-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34871 Differential Geometry and Analysis on CR Manifolds [documento electrónico] / Sorin Dragomir ; SpringerLink (Online service) ; Giuseppe Tomassini . - Boston, MA : Birkhäuser Boston, 2006 . - XVI, 488 p : online resource. - (Progress in Mathematics; 246) .
ISBN : 978-0-8176-4483-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Global Manifolds Partial differential equations Functions of complex variables Differential geometry Geometry and on Equations Several Complex Variables Analytic Spaces Clasificación: 51 Matemáticas Resumen: The study of CR manifolds lies at the intersection of three main mathematical disciplines: partial differential equations, complex analysis in several complex variables, and differential geometry. While the PDE and complex analytic aspects have been intensely studied in the last fifty years, much effort has recently been made to understand the differential geometric side of the subject. This monograph provides a unified presentation of several differential geometric aspects in the theory of CR manifolds and tangential Cauchy–Riemann equations. It presents the major differential geometric acheivements in the theory of CR manifolds, such as the Tanaka–Webster connection, Fefferman's metric, pseudo-Einstein structures and the Lee conjecture, CR immersions, subelliptic harmonic maps as a local manifestation of pseudoharmonic maps from a CR manifold, Yang–Mills fields on CR manifolds, to name a few. It also aims at explaining how certain results from analysis are employed in CR geometry. Motivated by clear exposition, many examples, explicitly worked-out geometric results, and stimulating unproved statements and comments referring to the most recent aspects of the theory, this monograph is suitable for researchers and graduate students in differential geometry, complex analysis, and PDEs Nota de contenido: CR Manifolds -- The Fefferman Metric -- The CR Yamabe Problem -- Pseudoharmonic Maps -- Pseudo-Einsteinian Manifolds -- Pseudo-Hermitian Immersions -- Quasiconformal Mappings -- Yang-Mills Fields on CR Manifolds -- Spectral Geometry En línea: http://dx.doi.org/10.1007/0-8176-4483-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34871 Ejemplares
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