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portada Harmonic Maps and Minimal Immersions With Symmetries: Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (Am-130)
Type
Physical Book
Year
1993
Language
English
Pages
244
Format
Paperback
ISBN
069110249x
ISBN13
9780691102498

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

James Eells; Andrea Ratto (Author) · Princeton University Press · Paperback

Harmonic Maps and Minimal Immersions With Symmetries: Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (Am-130) - James Eells; Andrea Ratto

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Synopsis "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' 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.

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