Harmonic Maps and Minimal Immersions with Symmetries - Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) - James Eells, Andrea Ratto (1993)
ISBN 069110249X
Subject Differential equations, Elliptic - Numerical solutions; Harmonic maps; Immersions (Mathematics)
Publisher Princeton University Press
Publication Date 3/22/1993
Format Paperback (230 x 152 mm)
Language e
Plot

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.

Personal Details
Collection Status In Collection
Index 1974
Read It Yes
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Product Details
LoC Classification QA614.73.E35 1993 copy
Dewey 514/.7
Cover Price $55.00
No. of Pages 244