Harmonic Maps Loop Groups And Integrable Systems PDF Download
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Author | : Martin A. Guest |
Publisher | : Cambridge University Press |
Total Pages | : 202 |
Release | : 1997-01-13 |
Genre | : Mathematics |
ISBN | : 9780521589321 |
Download Harmonic Maps, Loop Groups, and Integrable Systems Book in PDF, ePub and Kindle
Harmonic maps are generalisations of the concept of geodesics. They encompass many fundamental examples in differential geometry and have recently become of widespread use in many areas of mathematics and mathematical physics. This is an accessible introduction to some of the fundamental connections between differential geometry, Lie groups, and integrable Hamiltonian systems. The specific goal of the book is to show how the theory of loop groups can be used to study harmonic maps. By concentrating on the main ideas and examples, the author leads up to topics of current research. The book is suitable for students who are beginning to study manifolds and Lie groups, and should be of interest both to mathematicians and to theoretical physicists.
Author | : N. J. Hitchin |
Publisher | : OUP Oxford |
Total Pages | : 147 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 0191664456 |
Download Integrable Systems Book in PDF, ePub and Kindle
This textbook is designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors. The book has its origins in a series of lecture courses given by the authors, all of whom are internationally known mathematicians and renowned expositors. It is written in an accessible and informal style, and fills a gap in the existing literature. The introduction by Nigel Hitchin addresses the meaning of integrability: how do we recognize an integrable system? His own contribution then develops connections with algebraic geometry, and includes an introduction to Riemann surfaces, sheaves, and line bundles. Graeme Segal takes the Kortewegde Vries and nonlinear Schrödinger equations as central examples, and explores the mathematical structures underlying the inverse scattering transform. He explains the roles of loop groups, the Grassmannian, and algebraic curves. In the final part of the book, Richard Ward explores the connection between integrability and the self-dual Yang-Mills equations, and describes the correspondence between solutions to integrable equations and holomorphic vector bundles over twistor space.
Author | : Martin A. Guest |
Publisher | : |
Total Pages | : 121 |
Release | : 1995 |
Genre | : Differential equations |
ISBN | : |
Download Integrable Systems, Loop Groups and Harmonic Maps Book in PDF, ePub and Kindle
Author | : Martin A. Guest |
Publisher | : |
Total Pages | : 194 |
Release | : 1997 |
Genre | : |
ISBN | : |
Download Harmonic Maps, Loop Group, and Integrable Book in PDF, ePub and Kindle
Author | : Frederic Hélein |
Publisher | : Springer Science & Business Media |
Total Pages | : 132 |
Release | : 2001-06-01 |
Genre | : Mathematics |
ISBN | : 9783764365769 |
Download Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems Book in PDF, ePub and Kindle
The book helps the reader to access the ideas of the theory and to acquire a united perspective of the subject."--BOOK JACKET.
Author | : James Eells |
Publisher | : World Scientific |
Total Pages | : 453 |
Release | : 1992-08-21 |
Genre | : Mathematics |
ISBN | : 9814506125 |
Download Harmonic Maps: Selected Papers By James Eells And Collaborators Book in PDF, ePub and Kindle
These original research papers, written during a period of over a quarter of a century, have two main objectives. The first is to lay the foundations of the theory of harmonic maps between Riemannian Manifolds, and the second to establish various existence and regularity theorems as well as the explicit constructions of such maps.
Author | : Rui Pacheco |
Publisher | : |
Total Pages | : |
Release | : 2004 |
Genre | : |
ISBN | : |
Download Harmonic Maps and Loop Groups Book in PDF, ePub and Kindle
Author | : Fanghua Lin |
Publisher | : World Scientific |
Total Pages | : 280 |
Release | : 2008 |
Genre | : Science |
ISBN | : 9812779523 |
Download The Analysis of Harmonic Maps and Their Heat Flows Book in PDF, ePub and Kindle
This book contains the proceedings of the Fourth Meeting on CPT and Lorentz Symmetry, held at Indiana University in Bloomington on August 8-11, 2007. The Meeting focused on experimental tests of these fundamental symmetries and on important theoretical issues, including scenarios for possible relativity violations. Experimental subjects covered include: astrophysical observations, clock-comparison measurements, cosmological birefringence, electromagnetic resonant cavities, gravitational tests, matter interferometry, muon behavior, neutrino oscillations, oscillations and decays of neutral mesons, particle-antiparticle comparisons, post-Newtonian gravity, space-based missions, spectroscopy of hydrogen and antihydrogen, and spin-polarized matter.Theoretical topics covered include: physical effects at the level of the Standard Model, General Relativity, and beyond; the possible origins and mechanisms for Lorentz and CPT violations; and associated issues in field theory, particle physics, gravity, and string theory. The contributors consist of the leading experts in this very active research field.
Author | : Frédéric Hélein |
Publisher | : Birkhauser |
Total Pages | : 122 |
Release | : 2001-01-01 |
Genre | : Mathematics |
ISBN | : 9780817665760 |
Download Constant Mean Curvature Surfaces, Harmonic Maps, and Integrable Systems Book in PDF, ePub and Kindle
Author | : Percy Deift |
Publisher | : |
Total Pages | : 101 |
Release | : 1992 |
Genre | : Hamiltonian systems |
ISBN | : 9781470400569 |
Download Loop Groups, Discrete Versions of Some Classical Integrable Systems, and Rank 2 Extensions Book in PDF, ePub and Kindle