Harmonic Maps and Minimal Immersions with Symmetries Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (Annals of Mathematics Studies)

Eells, James & Andrea Ratto

ISBN 10: 0691033218 / ISBN 13: 9780691033211

Published by Princeton University Press, 1993

About this Item

Light wear and soiling to covers, otherwise text clean and solid; no dust jacket; AM-130; 9.75 X 6.50 X 0.75 inches; 244 pages.

Seller Inventory # 213348

Bibliographic Details

• Title: Harmonic Maps and Minimal Immersions with Symmetries Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (Annals of Mathematics Studies)
• Publisher: Princeton University Press
• Publication Date: 1993
• Language: English
• ISBN 10: 0691033218
• ISBN 13: 9780691033211
• Binding: Hardcover
• Condition: Very Good
• Dust Jacket Condition: No Dust Jacket As Issued

About this title

Synopsis

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.

About the Author

James Eells is Professor of Mathematics at the University of Warwick. Andrea Ratto is Professor Mathematics at the Universite de Bretagne Occidentale in Brest.