Автор: Fr?d?ric H?lein Название: Harmonic Maps, Conservation Laws and Moving Frames ISBN: 0521811600 ISBN-13(EAN): 9780521811606 Издательство: Cambridge Academ Рейтинг: Цена: 136940 T Наличие на складе: Поставка под заказ. Описание: 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
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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