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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
1997.
|
| Schriftenreihe: | London Mathematical Society student texts ;
38. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xiii, 194 pages) |
| Bibliographie: | Includes bibliographical references (pages 187-192) and index. |
| ISBN: | 9781139174848 1139174843 9781107089006 110708900X |
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| 520 | |a 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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| contents | pt. I. One-dimensional integrable systems -- pt. II. Two-dimensional integrable systems -- pt. III. One-dimensional and two-dimensional integrable systems. |
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| id | ZDB-4-EBA-ocn817921933 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:03Z |
| institution | BVB |
| isbn | 9781139174848 1139174843 9781107089006 110708900X |
| language | English |
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| series | London Mathematical Society student texts ; |
| series2 | London Mathematical Society student texts ; |
| spelling | Guest, Martin A. Harmonic maps, loop groups, and integrable systems / Martin A. Guest. Cambridge ; New York : Cambridge University Press, 1997. 1 online resource (xiii, 194 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society student texts ; 38 Includes bibliographical references (pages 187-192) and index. Print version record. 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. pt. I. One-dimensional integrable systems -- pt. II. Two-dimensional integrable systems -- pt. III. One-dimensional and two-dimensional integrable systems. Harmonic maps. http://id.loc.gov/authorities/subjects/sh85058944 Loops (Group theory) http://id.loc.gov/authorities/subjects/sh85078321 Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Applications harmoniques. Lacets (Théorie des groupes) Équations différentielles. MATHEMATICS Topology. bisacsh Differential equations fast Harmonic maps fast Loops (Group theory) fast Loop gnd http://d-nb.info/gnd/4168153-8 Harmonische Abbildung gnd http://d-nb.info/gnd/4023452-6 Integrables System gnd http://d-nb.info/gnd/4114032-1 Harmonische ruimten. gtt Groepen (wiskunde) gtt Print version: Guest, Martin A. Harmonic maps, loop groups, and integrable systems. Cambridge ; New York : Cambridge University Press, 1997 0521580854 (DLC) 96038837 (OCoLC)35627559 London Mathematical Society student texts ; 38. http://id.loc.gov/authorities/names/n84727069 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=570405 Volltext |
| spellingShingle | Guest, Martin A. Harmonic maps, loop groups, and integrable systems / London Mathematical Society student texts ; pt. I. One-dimensional integrable systems -- pt. II. Two-dimensional integrable systems -- pt. III. One-dimensional and two-dimensional integrable systems. Harmonic maps. http://id.loc.gov/authorities/subjects/sh85058944 Loops (Group theory) http://id.loc.gov/authorities/subjects/sh85078321 Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Applications harmoniques. Lacets (Théorie des groupes) Équations différentielles. MATHEMATICS Topology. bisacsh Differential equations fast Harmonic maps fast Loops (Group theory) fast Loop gnd http://d-nb.info/gnd/4168153-8 Harmonische Abbildung gnd http://d-nb.info/gnd/4023452-6 Integrables System gnd http://d-nb.info/gnd/4114032-1 Harmonische ruimten. gtt Groepen (wiskunde) gtt |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85058944 http://id.loc.gov/authorities/subjects/sh85078321 http://id.loc.gov/authorities/subjects/sh85037890 http://d-nb.info/gnd/4168153-8 http://d-nb.info/gnd/4023452-6 http://d-nb.info/gnd/4114032-1 |
| title | Harmonic maps, loop groups, and integrable systems / |
| title_auth | Harmonic maps, loop groups, and integrable systems / |
| title_exact_search | Harmonic maps, loop groups, and integrable systems / |
| title_full | Harmonic maps, loop groups, and integrable systems / Martin A. Guest. |
| title_fullStr | Harmonic maps, loop groups, and integrable systems / Martin A. Guest. |
| title_full_unstemmed | Harmonic maps, loop groups, and integrable systems / Martin A. Guest. |
| title_short | Harmonic maps, loop groups, and integrable systems / |
| title_sort | harmonic maps loop groups and integrable systems |
| topic | Harmonic maps. http://id.loc.gov/authorities/subjects/sh85058944 Loops (Group theory) http://id.loc.gov/authorities/subjects/sh85078321 Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Applications harmoniques. Lacets (Théorie des groupes) Équations différentielles. MATHEMATICS Topology. bisacsh Differential equations fast Harmonic maps fast Loops (Group theory) fast Loop gnd http://d-nb.info/gnd/4168153-8 Harmonische Abbildung gnd http://d-nb.info/gnd/4023452-6 Integrables System gnd http://d-nb.info/gnd/4114032-1 Harmonische ruimten. gtt Groepen (wiskunde) gtt |
| topic_facet | Harmonic maps. Loops (Group theory) Differential equations. Applications harmoniques. Lacets (Théorie des groupes) Équations différentielles. MATHEMATICS Topology. Differential equations Harmonic maps Loop Harmonische Abbildung Integrables System Harmonische ruimten. Groepen (wiskunde) |
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