Harmonic Maps, Conservation Laws and Moving Frames - Frédéric Hélein, Frederic Helein (2002)
ISBN 0521811600
Subject Harmonic maps; Riemannian manifolds
Publisher Cambridge University Press
Publication Date 6/15/2002
Format Hardcover (232 x 158 mm)
Language e
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.
Personal Details
Collection Status In Collection
Index 841
Read It Yes
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Product Details
LoC Classification QA614.73.H45 2002
Dewey 514/.74
Edition 2nd ed.
Cover Price $95.00
No. of Pages 288