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Harmonic Maps, Conservation Laws and Moving Frames on Hardback by Frederic Helein
Harmonic Maps, Conservation Laws and Moving Frames on Hardback by Frederic Helein
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Harmonic Maps, Conservation Laws and Moving Frames

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Description

The author presents an accessible and self-contained introduction to harmonic map theory and its analytical aspects, covering 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. The reader is then presented with 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 self-contained 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.
Release date NZ
June 13th, 2002
Audience
  • Professional & Vocational
Edition
2nd Revised edition
Pages
292
Dimensions
155x231x20
ISBN-13
9780521811606
Product ID
4734966

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