Harmonic Maps, Conservation Laws and Moving Frames (Hardcover, 2nd Revised edition)

This accessible introduction to harmonic map theory and its analytical aspects, covers recent developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressing the interplay between geometry, the role of symmetries and weak solutions. It then presents a guided tour into the theory of completely integrable systems for harmonic maps, followed by two chapters devoted to recent results on the regularity of weak solutions. A presentation of "exotic" functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The importance of conservation laws is stressed and the concept of a "Coulomb moving frame" is explained in detail. The book ends with further applications and illustrations of Coulomb moving frames to the theory of surfaces.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Cambridge Tracts in Mathematics
Release date:	June 2002
First published:	2002
Authors:	Frederic Helein
Dimensions:	231 x 155 x 20mm (L x W x T)
Format:	Hardcover
Pages:	292
Edition:	2nd Revised edition
ISBN-13:	978-0-521-81160-6
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Geometry > General
LSN:	0-521-81160-0
Barcode:	9780521811606

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