Harmonic Maps and Minimal Immersions With Symmetries : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems

Eells, James; Ratto, Andrea

ISBN 10: 069110249X / ISBN 13: 9780691102498

Editore: Princeton University Press, 1993

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Dati bibliografici

• Titolo: Harmonic Maps and Minimal Immersions With Symmetries : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems
• Editore: Princeton University Press
• Data di pubblicazione: 1993
• Lingua: Inglese
• ISBN 10: 069110249X
• ISBN 13: 9780691102498
• Rilegatura: Brossura
• Condizione: As New

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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