Harmonic Mappings Between Riemannian Manifolds
Author : Jürgen Jost
Publisher :
Page : 192 pages
File Size : 49,8 MB
Release : 1984
Category : Conformal mapping
ISBN :
Author : Jürgen Jost
Publisher :
Page : 192 pages
File Size : 49,8 MB
Release : 1984
Category : Conformal mapping
ISBN :
Author : James Eells
Publisher : World Scientific
Page : 38 pages
File Size : 46,6 MB
Release : 1995
Category : Mathematics
ISBN : 9789810214661
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.
Author : James Eells
Publisher : Cambridge University Press
Page : 316 pages
File Size : 13,94 MB
Release : 2001-07-30
Category : Mathematics
ISBN : 9780521773119
A research level book on harmonic maps between singular spaces, by renowned authors, first published in 2001.
Author : Anand Arvind Joshi
Publisher :
Page : 106 pages
File Size : 29,12 MB
Release : 2006
Category :
ISBN :
Author : Fanghua Lin
Publisher : World Scientific
Page : 280 pages
File Size : 22,98 MB
Release : 2008-05-23
Category : Mathematics
ISBN : 9814472247
This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many important theorems on the regularity of minimizing harmonic maps by Schoen-Uhlenbeck, stationary harmonic maps between Riemannian manifolds in higher dimensions by Evans and Bethuel, and weakly harmonic maps from Riemannian surfaces by Helein, as well as on the structure of a singular set of minimizing harmonic maps and stationary harmonic maps by Simon and Lin. The second part of the book contains a systematic coverage of heat flow of harmonic maps that includes Eells-Sampson's theorem on global smooth solutions, Struwe's almost regular solutions in dimension two, Sacks-Uhlenbeck's blow-up analysis in dimension two, Chen-Struwe's existence theorem on partially smooth solutions, and blow-up analysis in higher dimensions by Lin and Wang.The book can be used as a textbook for the topic course of advanced graduate students and for researchers who are interested in geometric partial differential equations and geometric analysis.
Author : Paul Baird
Publisher : Oxford University Press
Page : 540 pages
File Size : 50,20 MB
Release : 2003
Category : Mathematics
ISBN : 9780198503620
This is an account in book form of the theory of harmonic morphisms between Riemannian manifolds.
Author : James Eells
Publisher : American Mathematical Soc.
Page : 93 pages
File Size : 34,44 MB
Release : 1983
Category : Mathematics
ISBN : 0821807005
Gives an account of the various aspects of the theory of harmonic maps between Riemannian manifolds. This book presents an exposition of the qualitative aspects of harmonic maps. It also proposes certain unsolved problems, together with comments and references, which are of widely varying difficulty.
Author : James Eells
Publisher : World Scientific
Page : 472 pages
File Size : 16,40 MB
Release : 1992
Category : Mathematics
ISBN : 9789810207045
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 : James Eells
Publisher : World Scientific
Page : 453 pages
File Size : 21,60 MB
Release : 1992-08-21
Category : Mathematics
ISBN : 9814506125
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 : James Eells
Publisher : American Mathematical Soc.
Page : 108 pages
File Size : 39,70 MB
Release : 1983-01-01
Category : Mathematics
ISBN : 9780821888957