Harmonic Maps and Minimal Immersions with Symmetries
Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems
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Harmonic Maps and Minimal Immersions with Symmetries by James Eelles
Book DescriptionThe 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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Book DetailsISBN: 9780691102498
(235mm x 155mm x 13mm)
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 22-Mar-1993
Country of Publication: United States
Books By Author James Eelles
Harmonic Maps between Riemannian Polyhedra, Hardback (July 2001)» View all books by James Eelles
A research level book on harmonic maps between singular spaces, by renowned authors, first published in 2001.
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