Harmonic Maps And Minimal Immersions With Symmetries Am 130 Volume 130

Author : James Eells,Andrea Ratto
Publisher : Princeton University Press
Page : 240 pages
File Size : 44,5 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882502

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Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 by James Eells,Andrea Ratto Pdf

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.

Author : James Eells,Andrea Ratto
Publisher : Princeton University Press
Page : 238 pages
File Size : 43,5 Mb
Release : 1993
Category : Mathematics
ISBN : 069110249X

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Harmonic Maps and Minimal Immersions with Symmetries by James Eells,Andrea Ratto Pdf

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.

Author : Yuan-Jen Chiang
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 44,7 Mb
Release : 2013-06-18
Category : Mathematics
ISBN : 9783034805346

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Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields by Yuan-Jen Chiang Pdf

Harmonic maps between Riemannian manifolds were first established by James Eells and Joseph H. Sampson in 1964. Wave maps are harmonic maps on Minkowski spaces and have been studied since the 1990s. Yang-Mills fields, the critical points of Yang-Mills functionals of connections whose curvature tensors are harmonic, were explored by a few physicists in the 1950s, and biharmonic maps (generalizing harmonic maps) were introduced by Guoying Jiang in 1986. The book presents an overview of the important developments made in these fields since they first came up. Furthermore, it introduces biwave maps (generalizing wave maps) which were first studied by the author in 2009, and bi-Yang-Mills fields (generalizing Yang-Mills fields) first investigated by Toshiyuki Ichiyama, Jun-Ichi Inoguchi and Hajime Urakawa in 2008. Other topics discussed are exponential harmonic maps, exponential wave maps and exponential Yang-Mills fields.

Author : Sylvain Cappell
Publisher : Princeton University Press
Page : 452 pages
File Size : 55,7 Mb
Release : 2000
Category : Electronic
ISBN : 0691088144

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Surveys on surgery theory : papers dedicated to C.T.C. Wall. by Sylvain Cappell Pdf

Author : Maria Falcitelli,Anna Maria Pastore,Stere Ianus?
Publisher : World Scientific
Page : 292 pages
File Size : 41,5 Mb
Release : 2004
Category : Mathematics
ISBN : 9789812562333

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Riemannian Submersions and Related Topics by Maria Falcitelli,Anna Maria Pastore,Stere Ianus? Pdf

This book provides the first-ever systematic introduction to thetheory of Riemannian submersions, which was initiated by BarrettO''Neill and Alfred Gray less than four decades ago. The authorsfocus their attention on classification theorems when the total spaceand the fibres have nice geometric properties.

Author : Maria Falcitelli,Anna Maria Pastore,Stere Ianus
Publisher : World Scientific
Page : 292 pages
File Size : 41,7 Mb
Release : 2004-06-21
Category : Mathematics
ISBN : 9789814482455

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Riemannian Submersions and Related Topics by Maria Falcitelli,Anna Maria Pastore,Stere Ianus Pdf

' This book provides the first-ever systematic introduction to the theory of Riemannian submersions, which was initiated by Barrett O'Neill and Alfred Gray less than four decades ago. The authors focus their attention on classification theorems when the total space and the fibres have nice geometric properties. Particular emphasis is placed on the interrelation with almost Hermitian, almost contact and quaternionic geometry. Examples clarifying and motivating the theory are included in every chapter. Recent results on semi-Riemannian submersions are also explained. Finally, the authors point out the close connection of the subject with some areas of physics. Contents:Riemannian SubmersionsSubmersions with Totally Geodesic FibresAlmost Hermitian SubmersionsRiemannian Submersions and Contact Metric ManifoldsEinstein Spaces and Riemannian SubmersionsRiemannian Submersions and SubmanifoldsSemi-Riemannian SubmersionsApplications of Riemannian Submersions in Physics Readership: Graduate students and researchers in differential geometry, Riemannian geometry and related fields such as physics. Keywords:Riemannian Submersions;Almost Hermitian Geometry;Contact Metric Manifolds;Einstein Spaces;Semi-Riemannian SubmersionsKey Features:First systematic exposition devoted to Riemannian submersionsDeals with current materialContains a wide-ranging bibliography and about 350 referencesReviews:“The reader should have little difficulty in locating the many different concepts in this rich and rewarding text. Young geometers looking for problems and more importantly directions for future work will find reading this book provides a fine source of material and papers.”Mathematical Reviews “This is a very well-written and interesting book on Riemannian submersions and it is the first monograph in the literature about this topic.”Zentralblatt MATH “Well written, gathering information spread in a lot of papers, unifying the style of many authors, with most of the proofs carried in all details, with a wealth of examples, it certainly fills a gap in the literature and will be a prior reference for both researchers and students.”Romanian Journal of Pure and Applied Mathematics '

Author : James Eells,Luc Lemaire
Publisher : World Scientific
Page : 228 pages
File Size : 49,6 Mb
Release : 1995-03-29
Category : Mathematics
ISBN : 9789814502924

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Two Reports on Harmonic Maps by James Eells,Luc Lemaire Pdf

Harmonic maps between Riemannian manifolds are solutions of systems of nonlinear partial differential equations which appear in different contexts of differential geometry. They include holomorphic maps, minimal surfaces, σ-models in physics. Recently, they have become powerful tools in the study of global properties of Riemannian and Kählerian manifolds. A standard reference for this subject is a pair of Reports, published in 1978 and 1988 by James Eells and Luc Lemaire. This book presents these two reports in a single volume with a brief supplement reporting on some recent developments in the theory. It is both an introduction to the subject and a unique source of references, providing an organized exposition of results spread throughout more than 800 papers. Contents:IntroductionOperations on Vector BundlesHarmonic MapsComposition PropertiesMaps into Manifolds of Nonpositive (≤ 0) CurvatureThe Existence Theorem for Riem N ≤ 0Maps into Flat ManifoldsHarmonic Maps between SpheresHolomorphic MapsHarmonic Maps of a SurfaceHarmonic Maps between SurfacesHarmonic Maps of Manifolds with Boundary Readership: Mathematicians and mathematical physicists. keywords:Harmonic Maps;Minimal Immersions;Totally Geodesic Maps;Kaehler Manifold;(1,1)-Geodesic Map;Dilatation;Nonpositive Sectional Curvature;Holomorphic Map;Teichmueller Map;Twistor Construction “… an interesting account of the progress made in the theory of harmonic maps until the year 1988 … this master-piece work will serve as an influence and good reference in the very active subject of harmonic maps both from the points of view of theory and applications.” Mathematics Abstracts

Author : Gábor Tóth (Ph. D.)
Publisher : Unknown
Page : 176 pages
File Size : 54,6 Mb
Release : 1990
Category : Mathematics
ISBN : UOM:39015018970650

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Harmonic Maps and Minimal Immersions Through Representation Theory by Gábor Tóth (Ph. D.) Pdf

Author : Anonim
Publisher : Unknown
Page : 468 pages
File Size : 42,6 Mb
Release : 1997
Category : Engineering
ISBN : UOM:39015055739893

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Proceedings by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 730 pages
File Size : 40,8 Mb
Release : 1997
Category : Mathematics
ISBN : UOM:39015035721185

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Mathematical Reviews by Anonim Pdf

Author : Reed Reference Publishing,R5ference Reed
Publisher : Unknown
Page : 1542 pages
File Size : 48,6 Mb
Release : 1995-12
Category : Reference
ISBN : 0835236307

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Paperbound Books in Print 1995 by Reed Reference Publishing,R5ference Reed Pdf

Author : Ana Cannas da Silva
Publisher : Springer
Page : 220 pages
File Size : 44,5 Mb
Release : 2004-10-27
Category : Mathematics
ISBN : 9783540453307

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Lectures on Symplectic Geometry by Ana Cannas da Silva Pdf

The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.

Author : John S. Townsend
Publisher : University Science Books
Page : 498 pages
File Size : 53,6 Mb
Release : 2000
Category : Science
ISBN : 1891389130

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A Modern Approach to Quantum Mechanics by John S. Townsend Pdf

Inspired by Richard Feynman and J.J. Sakurai, A Modern Approach to Quantum Mechanics allows lecturers to expose their undergraduates to Feynman's approach to quantum mechanics while simultaneously giving them a textbook that is well-ordered, logical and pedagogically sound. This book covers all the topics that are typically presented in a standard upper-level course in quantum mechanics, but its teaching approach is new. Rather than organizing his book according to the historical development of the field and jumping into a mathematical discussion of wave mechanics, Townsend begins his book with the quantum mechanics of spin. Thus, the first five chapters of the book succeed in laying out the fundamentals of quantum mechanics with little or no wave mechanics, so the physics is not obscured by mathematics. Starting with spin systems it gives students straightfoward examples of the structure of quantum mechanics. When wave mechanics is introduced later, students should perceive it correctly as only one aspect of quantum mechanics and not the core of the subject.

Author : Anonim
Publisher : American Mathematical Soc.
Page : 698 pages
File Size : 44,5 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821838488

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Dirichlet Branes and Mirror Symmetry by Anonim Pdf

Research in string theory has generated a rich interaction with algebraic geometry, with exciting work that includes the Strominger-Yau-Zaslow conjecture. This monograph builds on lectures at the 2002 Clay School on Geometry and String Theory that sought to bridge the gap between the languages of string theory and algebraic geometry.

Author : James Carlson,Stefan Müller-Stach,Chris Peters
Publisher : Cambridge University Press
Page : 577 pages
File Size : 48,5 Mb
Release : 2017-08-24
Category : Mathematics
ISBN : 9781108422628

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Period Mappings and Period Domains by James Carlson,Stefan Müller-Stach,Chris Peters Pdf

An introduction to Griffiths' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.