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Harmonic Maps, Conservation Laws and Moving Frames - Fr D. Ric H. Lein,Frederic Helein

English
2013-04-30
€240.33 €300.41

-20% with code BOOKS

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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 chapte ... Full description

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Description

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.

More Information

Author Fr D. Ric H. Lein, Frederic Helein
Publisher Cambridge University Press
Release year 2013
Cover type Hardcover
EAN 9780521811606
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€240.33 €300.41