Harmonic Maps Between Riemannian Polyhedra
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Harmonic Maps Between Riemannian Polyhedra
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Author : James Eells
language : en
Publisher: Cambridge University Press
Release Date : 2001-07-30
Harmonic Maps Between Riemannian Polyhedra written by James Eells and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-30 with Mathematics categories.
A research level book on harmonic maps between singular spaces, by renowned authors, first published in 2001.
Harmonic Maps Between Riemannian Polyhedra
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Author : Bent Fuglede
language : en
Publisher:
Release Date : 2000
Harmonic Maps Between Riemannian Polyhedra written by Bent Fuglede and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Two Reports On Harmonic Maps
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Author : James Eells
language : en
Publisher: World Scientific
Release Date : 1995
Two Reports On 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 1995 with Mathematics categories.
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, å-models in physics. Recently, they have become powerful tools in the study of global properties of Riemannian and Khlerian 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.
Harmonic Maps Selected Papers By James Eells And Collaborators
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Author : James Eells
language : en
Publisher: World Scientific
Release Date : 1992-08-21
Harmonic Maps Selected Papers By James Eells And Collaborators 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 1992-08-21 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.
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.
Harmonic Mappings Between Riemannian Manifolds
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Author : Jürgen Jost
language : en
Publisher:
Release Date : 1984
Harmonic Mappings Between Riemannian Manifolds written by Jürgen Jost and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Conformal mapping categories.
Geometry Of Harmonic Maps
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Author : Yuanlong Xin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Geometry Of Harmonic Maps written by Yuanlong Xin 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 2012-12-06 with Mathematics categories.
Harmonic maps are solutions to a natural geometrical variational prob lem. This notion grew out of essential notions in differential geometry, such as geodesics, minimal surfaces and harmonic functions. Harmonic maps are also closely related to holomorphic maps in several complex variables, to the theory of stochastic processes, to nonlinear field theory in theoretical physics, and to the theory of liquid crystals in materials science. During the past thirty years this subject has been developed extensively. The monograph is by no means intended to give a complete description of the theory of harmonic maps. For example, the book excludes a large part of the theory of harmonic maps from 2-dimensional domains, where the methods are quite different from those discussed here. The first chapter consists of introductory material. Several equivalent definitions of harmonic maps are described, and interesting examples are presented. Various important properties and formulas are derived. Among them are Bochner-type formula for the energy density and the second varia tional formula. This chapter serves not only as a basis for the later chapters, but also as a brief introduction to the theory. Chapter 2 is devoted to the conservation law of harmonic maps. Em phasis is placed on applications of conservation law to the mono tonicity formula and Liouville-type theorems.
Selected Topics In Harmonic Maps
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Author : James Eells
language : en
Publisher: American Mathematical Soc.
Release Date : 1983-01-01
Selected Topics In Harmonic Maps written by James Eells 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 1983-01-01 with Mathematics categories.
Partial Regularity For Harmonic Maps And Related Problems
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Author : Roger Moser
language : en
Publisher: World Scientific
Release Date : 2005
Partial Regularity For Harmonic Maps And Related Problems written by Roger Moser and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
The book presents a collection of results pertaining to the partial regularity of solutions to various variational problems, all of which are connected to the Dirichlet energy of maps between Riemannian manifolds, and thus related to the harmonic map problem. The topics covered include harmonic maps and generalized harmonic maps; certain perturbed versions of the harmonic map equation; the harmonic map heat flow; and the Landau-Lifshitz (or Landau-Lifshitz-Gilbert) equation. Since the methods in regularity theory of harmonic maps are quite subtle, it is not immediately clear how they can be applied to certain problems that arise in applications. The book discusses in particular this question.
Harmonic Maps Between Surfaces
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Author : Jürgen Jost
language : en
Publisher: Springer
Release Date : 2006-12-08
Harmonic Maps Between Surfaces written by Jürgen Jost and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.