fordy, wood. (eds.) harmonic maps and integrable systems (1994)(316s)

Wood Harmonic maps and integrable systems Originally published in the series: Aspects of Mathematics, vol.. 7 Harmonic maps into symmetric spaces and integrable systems , J.C.. 29 The

Contents of Fordy Wood file:///tmp/index.htm

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 system MMañasp

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

Contents of Fordy Wood file:///tmp/index.htm

The twistor approach

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

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