HARMONIC MAPS, CONSERVATION LAWS AND MOVING FRAMES by Frederic Helein ( 9780521811606 )

Item Details

Title:

HARMONIC MAPS, CONSERVATION LAWS AND MOVING FRAMES

By:

Frederic Helein

Format:

Hardback

List price:

£111.00

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£97.13

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12.5% off

You save:

£13.87

ISBN 10:

0521811600

ISBN 13:

9780521811606

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

13 June, 2002

Edition:

2nd Revised edition

Series:

Cambridge Tracts in Mathematics 150

Pages:

292

Description:

Accessible and pedagogical introduction to the theory of harmonic maps, covering recent results and applications.

Synopsis:

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.

Illustrations:

references, notations

Publication:

Imprint:

Cambridge University Press

Returns:

Returnable

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HARMONIC MAPS, CONSERVATION LAWS AND MOVING FRAMES