Harmonic Maps And Minimal Immersions Through Representation Theory

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Harmonic Maps And Minimal Immersions Through Representation Theory

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Author : Gábor Tóth (Ph. D.)
language : en
Publisher:
Release Date : 1990

Harmonic Maps And Minimal Immersions Through Representation Theory written by Gábor Tóth (Ph. D.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.

Harmonic Maps And Minimal Immersions With Symmetries Am 130 Volume 130

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Author : James Eells
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02

Harmonic Maps And Minimal Immersions With Symmetries Am 130 Volume 130 written by James Eells 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 2016-03-02 with Mathematics categories.

The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. In several instances, the latter permits reduction of the original elliptic variational problem to the qualitative study of certain ordinary differential equations: the authors' primary objective is to provide representative examples to illustrate these reduction methods and their associated analysis with geometric and topological applications. The material covered by the book displays a solid interplay involving geometry, analysis and topology: in particular, it includes a basic presentation of 1-cohomogeneous equivariant differential geometry and of the theory of harmonic maps between spheres.

Harmonic Maps And Minimal Immersions With Symmetries

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Author : James Eells
language : en
Publisher: Princeton University Press
Release Date : 1993

Harmonic Maps And Minimal Immersions With Symmetries written by James Eells 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 1993 with Mathematics categories.

The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. In several instances, the latter permits reduction of the original elliptic variational problem to the qualitative study of certain ordinary differential equations: the authors' primary objective is to provide representative examples to illustrate these reduction methods and their associated analysis with geometric and topological applications. The material covered by the book displays a solid interplay involving geometry, analysis and topology: in particular, it includes a basic presentation of 1-cohomogeneous equivariant differential geometry and of the theory of harmonic maps between spheres.

Harmonic Mappings And Minimal Immersion

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Author : Enrico Giusti
language : en
Publisher: Springer
Release Date : 2006-11-14

Harmonic Mappings And Minimal Immersion written by Enrico Giusti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

Glimpses Of Algebra And Geometry

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Author : Gabor Toth
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-06

Glimpses Of Algebra And Geometry written by Gabor Toth 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 2006-04-06 with Mathematics categories.

Previous edition sold 2000 copies in 3 years; Explores the subtle connections between Number Theory, Classical Geometry and Modern Algebra; Over 180 illustrations, as well as text and Maple files, are available via the web facilitate understanding: http://mathsgi01.rutgers.edu/cgi-bin/wrap/gtoth/; Contains an insert with 4-color illustrations; Includes numerous examples and worked-out problems

Harmonic Mappings And Minimal Immersion

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Author : Centro internazionale matematico estivo
language : en
Publisher: C.I.M.E. Foundation Subseries
Release Date : 1985-11

Harmonic Mappings And Minimal Immersion written by Centro internazionale matematico estivo and has been published by C.I.M.E. Foundation Subseries this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-11 with Mathematics categories.

Constant Mean Curvature Surfaces Harmonic Maps And Integrable Systems

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Author : Frederic Hélein
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Constant Mean Curvature Surfaces Harmonic Maps And Integrable Systems written by Frederic Hélein and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This book intends to give an introduction to harmonic maps between a surface and a symmetric manifold and constant mean curvature surfaces as completely integrable systems. The presentation is accessible to undergraduate and graduate students in mathematics but will also be useful to researchers. It is among the first textbooks about integrable systems, their interplay with harmonic maps and the use of loop groups, and it presents the theory, for the first time, from the point of view of a differential geometer. The most important results are exposed with complete proofs (except for the last two chapters, which require a minimal knowledge from the reader). Some proofs have been completely rewritten with the objective, in particular, to clarify the relation between finite mean curvature tori, Wente tori and the loop group approach - an aspect largely neglected in the literature. The book helps the reader to access the ideas of the theory and to acquire a unified perspective of the subject.

Harmonic Maps

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Author : James Eells
language : en
Publisher: World Scientific
Release Date : 1992

Harmonic Maps written by James Eells and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.

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.

Calculus Of Variations And Harmonic Maps

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Author : Hajime Urakawa
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-02-15

Calculus Of Variations And Harmonic Maps written by Hajime Urakawa 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 2013-02-15 with Mathematics categories.

This book provides a wide view of the calculus of variations as it plays an essential role in various areas of mathematics and science. Containing many examples, open problems, and exercises with complete solutions, the book would be suitable as a text for graduate courses in differential geometry, partial differential equations, and variational methods. The first part of the book is devoted to explaining the notion of (infinite-dimensional) manifolds and contains many examples. An introduction to Morse theory of Banach manifolds is provided, along with a proof of the existence of minimizing functions under the Palais-Smale condition. The second part, which may be read independently of the first, presents the theory of harmonic maps, with a careful calculation of the first and second variations of the energy. Several applications of the second variation and classification theories of harmonic maps are given.

Harmonic Mappings And Minimal Immersions

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Author : Centro internazionale matematico estivo
language : en
Publisher: Springer
Release Date : 1985

Harmonic Mappings And Minimal Immersions written by Centro internazionale matematico estivo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.