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.
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Buch. Zustand: 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. 330 pp. Englisch. Bestandsnummer des Verkäufers 9783528065546
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Zustand: 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. . . . . Bestandsnummer des Verkäufers V9783528065546
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Zustand: 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. Bestandsnummer des Verkäufers V9783528065546
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Zustand: 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. Bestandsnummer des Verkäufers 4866955
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