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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 sym...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Francés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2002.
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| Edición: | 2nd ed. |
| Colección: | Cambridge tracts in mathematics ;
150. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (xxv, 264 pages) |
| Bibliografía: | Includes bibliographical references (pages 254-262) and index. |
| ISBN: | 0511016603 9780511016608 9780511543036 0511543034 |