Differential Geometry Geometry In Mathematical Physics And Related Topics


Differential Geometry Geometry In Mathematical Physics And Related Topics
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Differential Geometry Geometry In Mathematical Physics And Related Topics


Differential Geometry Geometry In Mathematical Physics And Related Topics
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Author : Robert Everist Greene
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Differential Geometry Geometry In Mathematical Physics And Related Topics written by Robert Everist Greene and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Complex manifolds categories.


The second of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Among the subjects of Part 2 are gauge theory, symplectic geometry, complex ge



Geometry In Mathematical Physics And Related Topics


Geometry In Mathematical Physics And Related Topics
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Author : Robert Everist Greene
language : en
Publisher:
Release Date : 1993

Geometry In Mathematical Physics And Related Topics written by Robert Everist Greene and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Complex manifolds categories.




Differential Geometry And Mathematical Physics


Differential Geometry And Mathematical Physics
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Author : Gerd Rudolph
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-09

Differential Geometry And Mathematical Physics written by Gerd Rudolph and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-09 with Science categories.


Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact.



Topics In Contemporary Differential Geometry Complex Analysis And Mathematical Physics Proceedings Of The 8th International Workshop On Complex Structures And Vector Fields


Topics In Contemporary Differential Geometry Complex Analysis And Mathematical Physics Proceedings Of The 8th International Workshop On Complex Structures And Vector Fields
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Author : Kouei Sekigawa
language : en
Publisher: World Scientific
Release Date : 2007-06-11

Topics In Contemporary Differential Geometry Complex Analysis And Mathematical Physics Proceedings Of The 8th International Workshop On Complex Structures And Vector Fields written by Kouei Sekigawa and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-11 with Mathematics categories.


This volume contains the contributions by the participants in the eight of a series workshops in complex analysis, differential geometry and mathematical physics and related areas.Active specialists in mathematical physics contribute to the volume, providing not only significant information for researchers in the area but also interesting mathematics for non-specialists and a broader audience. The contributions treat topics including differential geometry, partial differential equations, integrable systems and mathematical physics.



Differential Geometry Differential Equations And Mathematical Physics


Differential Geometry Differential Equations And Mathematical Physics
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Author : Maria Ulan
language : en
Publisher: Springer Nature
Release Date : 2021-02-12

Differential Geometry Differential Equations And Mathematical Physics written by Maria Ulan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-12 with Mathematics categories.


This volume presents lectures given at the Wisła 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wisła, Poland, and was organized by the Baltic Institute of Mathematics. The lectures were dedicated to symplectic and Poisson geometry, tractor calculus, and the integration of ordinary differential equations, and are included here as lecture notes comprising the first three chapters. Following this, chapters combine theoretical and applied perspectives to explore topics at the intersection of differential geometry, differential equations, and mathematical physics. Specific topics covered include: Parabolic geometry Geometric methods for solving PDEs in physics, mathematical biology, and mathematical finance Darcy and Euler flows of real gases Differential invariants for fluid and gas flow Differential Geometry, Differential Equations, and Mathematical Physics is ideal for graduate students and researchers working in these areas. A basic understanding of differential geometry is assumed.



Differential Geometric Methods In Theoretical Physics


Differential Geometric Methods In Theoretical Physics
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Author : Ling-Lie Chau
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Differential Geometric Methods In Theoretical Physics written by Ling-Lie Chau and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Technology & Engineering categories.


After several decades of reduced contact, the interaction between physicists and mathematicians in the front-line research of both fields recently became deep and fruit ful again. Many of the leading specialists of both fields became involved in this devel opment. This process even led to the discovery of previously unsuspected connections between various subfields of physics and mathematics. In mathematics this concerns in particular knots von Neumann algebras, Kac-Moody algebras, integrable non-linear partial differential equations, and differential geometry in low dimensions, most im portantly in three and four dimensional spaces. In physics it concerns gravity, string theory, integrable classical and quantum field theories, solitons and the statistical me chanics of surfaces. New discoveries in these fields are made at a rapid pace. This conference brought together active researchers in these areas, reporting their results and discussing with other participants to further develop thoughts in future new directions. The conference was attended by SO participants from 15 nations. These proceedings document the program and the talks at the conference. This conference was preceded by a two-week summer school. Ten lecturers gave extended lectures on related topics. The proceedings of the school will also be published in the NATO-AS[ volume by Plenum. The Editors vii ACKNOWLEDGMENTS We would like to thank the many people who have made the conference a success. Furthermore, ·we appreciate the excellent talks. The active participation of everyone present made the conference lively and stimulating. All of this made our efforts worth while.



Differential Geometry And Physics


Differential Geometry And Physics
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Author : Mo-Lin Ge
language : en
Publisher: World Scientific
Release Date : 2006

Differential Geometry And Physics written by Mo-Lin Ge and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.


This volumes provides a comprehensive review of interactions between differential geometry and theoretical physics, contributed by many leading scholars in these fields. The contributions promise to play an important role in promoting the developments in these exciting areas. Besides the plenary talks, the coverage includes: models and related topics in statistical physics; quantum fields, strings and M-theory; Yang-Mills fields, knot theory and related topics; K-theory, including index theory and non-commutative geometry; mirror symmetry, conformal and topological quantum field theory; development of integrable systems; and random matrix theory.



Recent Topics In Differential Geometry And Its Related Fields Proceedings Of The 6th International Colloquium On Differential Geometry And Its Related Fields


Recent Topics In Differential Geometry And Its Related Fields Proceedings Of The 6th International Colloquium On Differential Geometry And Its Related Fields
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Author : Adachi Toshiaki
language : en
Publisher: World Scientific
Release Date : 2019-10-15

Recent Topics In Differential Geometry And Its Related Fields Proceedings Of The 6th International Colloquium On Differential Geometry And Its Related Fields written by Adachi Toshiaki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-15 with Mathematics categories.


This volume contains papers by the main participants in the meeting of the 6th International Colloquium on Differential Geometry and its Related Fields (ICDG2018).The volume consists of papers devoted to the study of recent topics in geometric structures on manifolds — which are related to complex analysis, symmetric spaces and surface theory — and also in discrete mathematics.Thus, it presents a broad overview of differential geometry and provides up-to-date information to researchers and young scientists in this field, and also to those working in the wide spectrum of mathematics.



An Introduction To Differential Geometry And Topology In Mathematical Physics


An Introduction To Differential Geometry And Topology In Mathematical Physics
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Author : Wang Rong
language : en
Publisher: World Scientific
Release Date : 1999-01-18

An Introduction To Differential Geometry And Topology In Mathematical Physics written by Wang Rong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-18 with Mathematics categories.


This book gives an outline of the developments of differential geometry and topology in the twentieth century, especially those which will be closely related to new discoveries in theoretical physics.



Seminar On Differential Geometry


Seminar On Differential Geometry
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Author : Shing-Tung Yau
language : en
Publisher: Princeton University Press
Release Date : 1982-03-21

Seminar On Differential Geometry written by Shing-Tung Yau and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-03-21 with Mathematics categories.


This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially partial differential equations and mathematical physics. This area of mathematics was the subject of a special program at the Institute for Advanced Study in Princeton during the academic year 1979-1980; the papers in this volume were contributed by the speakers in the sequence of seminars organized by Shing-Tung Yau for this program. Both survey articles and articles presenting new results are included. The articles on differential geometry and partial differential equations include a general survey article by the editor on the relationship of the two fields and more specialized articles on topics including harmonic mappings, isoperimetric and Poincaré inequalities, metrics with specified curvature properties, the Monge-Arnpere equation, L2 harmonic forms and cohomology, manifolds of positive curvature, isometric embedding, and Kraumlhler manifolds and metrics. The articles on differential geometry and mathematical physics cover such topics as renormalization, instantons, gauge fields and the Yang-Mills equation, nonlinear evolution equations, incompleteness of space-times, black holes, and quantum gravity. A feature of special interest is the inclusion of a list of more than one hundred unsolved research problems compiled by the editor with comments and bibliographical information.