Harmonic Maps and Minimal Immersions with Symmetries Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130)

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...

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Main Author: Eells, James
Other Authors: Ratto, Andrea
Format: eBook
Language:English
Published: Princeton, NJ Princeton University Press 2016, [2016]©1993
Series:Annals of Mathematics Studies
Subjects:
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
Summary: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
Item Description:Mode of access: Internet via World Wide Web
Physical Description:online resource
ISBN:9781400882502