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Sinossi
Harmonic maps are maps between Riemannian or pseudo-Riemannian manifolds which extremize a natural energy integral. They have found many applications, for example, to the theory of minimal and constant mean curvature suface. In physics they arise as the non-linear sigma and chiral models of particle physics. Recently, there has been an explosion of interest in applying the methods to ingrable systems to find and study harmonic maps. Bringing together experts in the field of harmonic maps and integrable systems to give a coherent account of this subject, this book starts with introductory articles, so that the book is self-contained. It should be of interest to graduate students and researchers interested in applying integrable systems to variational problems, and could form the basis of a graduate course.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
and background material.- Introduction,.- A historical introduction to solitons and Bäcklund tranformations,.- Harmonic maps into symmetric spaces and integrable systems,.- The geometry of surfaces.- The affine Toda equations and miminal surfaces,.- Surfaces in terms of 2 by 2 matrices: Old and new integrable cases,.- Integrable systems, harmonic maps and the classical theory of solitons,.- Sigma and chiral models.- The principal chiral model as an integrable system,.- 2-dimensional nonlinear sigma models: Zero curvature and Poisson structure,.- Sigma models in 2 + 1 dimensions,.- The algebraic approach.- Infinite dimensional Lie groups and the two-dimensional Toda lattice,.- Harmonic maps via Adler-Kostant-Symes theory,.- Loop group actions on harmonic maps and their applications,.- The twistor approach.- Twistors, nilpotent orbits and harmonic maps,.
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Harmonic Maps and Integrable Systems (Aspects of Mathematics, E 23) (German Edition)
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Condizione: New. In English. Codice articolo ria9783528065546_new
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Harmonic Maps and Integrable Systems
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Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Jan 1994, 1994
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ISBN 13: 9783528065546
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book brings together experts in the field to explain the ideas involved in the application of the theory of integrable systems to finding harmonic maps and related geometric objects. It had its genesis in a conference with the same title organised by the editors and held at Leeds in May 1992. However, it is not a conference proceedings, but rather a sequence of invited expositions by experts in the field which, we hope, together form a coherent account of the theory. The editors have added cross-references between articles and have written introductory articles in an effort to make the book self-contained. There are articles giving the points of view of both geometry and mathematical physics. Leeds, England A. P. Fordy October 1993 J. e. Wood Authors' addresses J. Bolton, Dept. of Math. Sciences, Univ. of Durham, South Road, Durham, DHI 3LE, UK A. I. Bobenko, FB Math. , Tecbnische Univ. , Strasse des 17. Juni. 135, 10623 Berlin, Germany M. Bordemann, Falc. fUr Physik, Albert-Ludwigs'Univ. , H. -Herder-Str. 3, 79104 Freiburg, Germany F. E. Burstall, Dept. of Mathematics, Univ. of Bath, Claverton Down, Bath, BA 7 7 AY, UK A. P. Fordy, School of Mathematics, Univ. of Leeds, Leeds, LS2 9JT, UK M. Forger, Falc. fUr Physik, Albert-Ludwigs Univ. , H. -Herder-Str. 3, 79104 Freiburg, Germany M. A. Guest, Dept. of Mathematics, Univ. of Rochester, Rochester, NY 14627, USA P. Z. Kobalc, Math. Institute, Univ. of Oxford, 24-29 St. 340 pp. Deutsch. Codice articolo 9783528065546
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Harmonic Maps and Integrable Systems
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Friedrich Vieweg & Sohn Verlagsgesellschaft mbH, 1994
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Condizione: New. Bringing together experts in the field of harmonic maps and integrable systems to give a coherent account of this subject, this book starts with introductory articles. Harmonic maps are maps between Riemannian or pseudo-Riemannian manifolds which extremize a natural energy integral. Editor(s): Fordy, Allan P.; Wood, John C. Series: Aspects of Mathematics. Num Pages: 338 pages. BIC Classification: PBKS; PBMP; PBPH. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 162 x 229. . . 1994. Hardback. . . . . Codice articolo V9783528065546
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Harmonic Maps and Integrable Systems
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Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 1994
ISBN 10: 3528065540
ISBN 13: 9783528065546
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Condizione: New. pp. 340. Codice articolo 2697766002
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Harmonic Maps and Integrable Systems
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Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 1994
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Condizione: New. Print on Demand pp. 340 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Codice articolo 94664109
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Harmonic Maps and Integrable Systems
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Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 1994
ISBN 10: 3528065540
ISBN 13: 9783528065546
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Condizione: New. PRINT ON DEMAND pp. 340. Codice articolo 1897766008
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Harmonic Maps and Integrable Systems (Aspects of Mathematics) (Aspects of Mathematics)
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Friedrich Vieweg & Sohn Verlagsgesellschaft mbH., 1994
ISBN 10: 3528065540
ISBN 13: 9783528065546
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Karton Karton. Condizione: Sehr gut. 329 Seiten, mit Abbildungen, Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 672. Codice articolo 494050
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Harmonic Maps and Integrable Systems
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. and background material.- Introduction,.- A historical introduction to solitons and Baecklund tranformations,.- Harmonic maps into symmetric spaces and integrable systems,.- The geometry of surfaces.- The affine Toda equations and miminal surfaces,.- Surface. Codice articolo 4866955
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Harmonic Maps and Integrable Systems
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Friedrich Vieweg & Sohn Verlagsgesellschaft mbH, 1994
ISBN 10: 3528065540
ISBN 13: 9783528065546
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Condizione: New. Bringing together experts in the field of harmonic maps and integrable systems to give a coherent account of this subject, this book starts with introductory articles. Harmonic maps are maps between Riemannian or pseudo-Riemannian manifolds which extremize a natural energy integral. Editor(s): Fordy, Allan P.; Wood, John C. Series: Aspects of Mathematics. Num Pages: 338 pages. BIC Classification: PBKS; PBMP; PBPH. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 162 x 229. . . 1994. Hardback. . . . . Books ship from the US and Ireland. Codice articolo V9783528065546
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Harmonic Maps and Integrable Systems
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ISBN 13: 9783528065546
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -and background material.- Introduction,.- A historical introduction to solitons and Bäcklund tranformations,.- Harmonic maps into symmetric spaces and integrable systems,.- The geometry of surfaces.- The affine Toda equations and miminal surfaces,.- Surfaces in terms of 2 by 2 matrices: Old and new integrable cases,.- Integrable systems, harmonic maps and the classical theory of solitons,.- Sigma and chiral models.- The principal chiral model as an integrable system,.- 2-dimensional nonlinear sigma models: Zero curvature and Poisson structure,.- Sigma models in 2 + 1 dimensions,.- The algebraic approach.- Infinite dimensional Lie groups and the two-dimensional Toda lattice,.- Harmonic maps via Adler-Kostant-Symes theory,.- Loop group actions on harmonic maps and their applications,.- The twistor approach.- Twistors, nilpotent orbits and harmonic maps,.Vieweg+Teubner Verlag, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 340 pp. Deutsch. Codice articolo 9783528065546
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