Harmonic maps and integrable systems

Contents of Fordy--Wood

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University of Leeds-- School of Maths-- Pure Maths-- J.C. Wood

ed. A.P. Fordy and J.C. Wood Harmonic maps and integrable systems Originally published in the series: Aspects of Mathematics, vol. E23, by Vieweg, Braunschweig/Wiesbaden, 1994; now out of print. Click on any chapter to obtain the postscript version. All papers are unchanged except as indicated Preface

Introduction and background material Introduction, p. 3 AhistoricalintroductiontosolitonsandBäcklundtranformations

, A.P. Fordy, p. 7

Harmonic maps into symmetric spaces and integrable systems, J.C. Wood, p. 29

The geometry of surfaces The affine Toda equations and miminal surfaces, J. Bolton and L. Woodward, p. 59 Equations (4.2) on p. 73 corrected

Surfaces in terms of 2 by 2 matrices: Old and new integrable cases, A.I. Bobenko, p. 83 Pictures now included in file (in slightly different positions on page)

Integrable systems, harmonic maps and the classical theory of solitons, M. Melko and I. Sterling, p. 129 Pictures now included in file as original

Sigma and chiral models The principal chiral model as an integrable systemMMañasp 2-dimensional nonlinear sigma models: Zero curvature and Poisson structure, M. BordemannMForgerJLaartzandUSchäperp Sigma models in 2+1 dimensions, R.S. Ward, p. 193

The algebraic approach Infinite dimensional Lie groups and the two-dimensional Toda lattice, I. McIntosh, p. 205 Harmonic maps via Adler-Kostant-Symes theory, F.E. Burstall and F. Pedit, p. 221 Loop group actions on harmonic maps and their applications, M.A. Guest and Y. Ohnita, p. 273

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The twistor approach Twistors, nilpotent orbits and harmonic maps, P.Z. Kobak, p. 295

Index Index of terms used in the articles, p. 323 This page is maintained by J.C. Wood Last Updated 24 August 1998

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