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Home > Education > Mathematics > Harmonic Maps, Conservation Laws and Moving Frames-eBook
Harmonic Maps, Conservation Laws and Moving Frames
by HÈlein, FrÈdÈric
 
 
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Harmonic Maps, Conservation Laws and Moving Frames
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.


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Title of ebook: Harmonic Maps, Conservation Laws and Moving Frames
ISBN: 9780511029899
Publisher: Cambridge University Press
Internet download file size: 1536 kb
Pages: 290
Released online for download: 06-12-1998
Author of eBook: HÈlein, FrÈdÈric
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