Harmonic Maps, Conservation Laws and Moving Frames
(Book #150 in the Cambridge Tracts in Mathematics Series)
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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.
Format:Hardcover
Language:English
ISBN:0521811600
ISBN13:9780521811606
Release Date:June 2002
Publisher:Cambridge University Press
Length:292 Pages
Weight:1.35 lbs.
Dimensions:0.8" x 6.1" x 9.1"
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