The analysis of harmonic maps and their heat flows

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 hig...

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Bibliographic Details
Main Authors Lin, Fanghua, Wang, Changyou
Format eBook Book
LanguageEnglish
Published New Jersey World Scientific Publishing Co. Pte. Ltd 2008
World Scientific
World Scientific Publishing Company
WORLD SCIENTIFIC
Edition1
Subjects
Harmonic maps
Heat equation
Pure Mathematics
Riemannian manifolds
SCIENCE
Textbooks
Heat Flow of Harmonic Maps
Harmonic Maps
Structure of Singularity
Regularity
Blow-Up Analysis
Online AccessGet full text
ISBN9789812779526
9812779523
9789812779533
9812779531
DOI10.1142/6679

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Summary: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.
Bibliography:Includes bibliographical references and index
ISBN:9789812779526
9812779523
9789812779533
9812779531
DOI:10.1142/6679