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Harmonic maps, loop groups, and integrable systems /
Harmonic maps are generalisations of the concept of geodesics. They encompass many fundamental examples in differential geometry and have recently become of widespread use in many areas of mathematics and mathematical physics. This is an accessible introduction to some of the fundamental connections...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1997.
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| Colección: | London Mathematical Society student texts ;
38. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | Harmonic maps are generalisations of the concept of geodesics. They encompass many fundamental examples in differential geometry and have recently become of widespread use in many areas of mathematics and mathematical physics. This is an accessible introduction to some of the fundamental connections between differential geometry, Lie groups, and integrable Hamiltonian systems. The specific goal of the book is to show how the theory of loop groups can be used to study harmonic maps. By concentrating on the main ideas and examples, the author leads up to topics of current research. The book is suitable for students who are beginning to study manifolds and Lie groups, and should be of interest both to mathematicians and to theoretical physicists. |
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| Descripción Física: | 1 online resource (xiii, 194 pages) |
| Bibliografía: | Includes bibliographical references (pages 187-192) and index. |
| ISBN: | 9781139174848 1139174843 9781107089006 110708900X |