Presents a study of harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. This book covers the material which displays an interplay involving geometry, analysis and topology. It includes a basic presentation of 1-cohomogeneous equivariant differential geometry and of the theory of harmonic maps between spheres. Series: Annals of Mathematics Studies. Num Pages: 240 pages, black & white illustrations. BIC Classification: PBKJ; PBMP; PBP. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 158 x 234 x 17. Weight in Grams: 382. . 1993. n. Paperback. . . . .

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Bibliographic Details

Title: Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130: Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130)
Publisher: Princeton University Press
Publication Date: 1993
Language: English
ISBN 10: 069110249X
ISBN 13: 9780691102498
Binding: Soft cover
Condition: New

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.

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