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

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by James Eells & Andrea Ratto
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Harmonic Maps and Minimal Immersions with Symmetries (AM-130): Methods of Ordinary Differential Equations Applied to Elliptic Va by James Eells & Andrea Ratto

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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Ebook Details
Pages: 240
Size: 11.1 MB
Publisher: Princeton University Press
Date published:   2016
ISBN: 9781400882502 (DRM-PDF)

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This product is listed in the following categories:

Nonfiction > Mathematics > Differential Equations
Nonfiction > Mathematics > Topology
Nonfiction > Mathematics > Geometry > Differential

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