Description

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.

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

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Paperback / softback by James Eells , Andrea Ratto

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The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of... Read more

    Publisher: Princeton University Press
    Publication Date: 11/04/1993
    ISBN13: 9780691102498, 978-0691102498
    ISBN10: 069110249X

    Number of Pages: 240

    Non Fiction , Mathematics & Science , Education

    Description

    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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