Kniha Harmonic Maps, Conservation Laws and Moving Frames Frédéric Hélein

Harmonic Maps, Conservation Laws and Moving Frames

Jazyk: Angličtina
Väzba: Pevná
Dostupnosť: Skladom u dodávateľa
Odosielame za 9-15 dní
147.09
The author presents an accessible and self-contained introduction to harmonic map theory and its ana...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
2002
Stránok
292
EAN
9780521811606
ISBN
0521811600
Enbook ID
02044536
Hmotnosť
627
Rozmery
155 x 231 x 20

Kompletný popis

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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