Surveys on Geometry and Integrable Systems

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Martin A. Guest, Reiko Miyaoka, Yoshihiro Ohnita
Mathematical Society of Japan, 2008 - Mathematics - 510 pages
The articles in this volume provide a panoramic view of the role of geometry in integrable systems, firmly rooted in surface theory but currently branching out in all directions.The longer articles by Bobenko (the Bonnet problem), Dorfmeister (the generalized Weierstrass representation), Joyce (special Lagrangian 3-folds) and Terng (geometry of soliton equations) are substantial surveys of several aspects of the subject. The shorter ones indicate more briefly how the classical ideas have spread throughout differential geometry, symplectic geometry, algebraic geometry, and theoretical physics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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Contents

BOBENKO Exploring surfaces through methods from
1
Josef DORFMEISTER Generalized Weierstraß representations
55
Atsushi FUJIOKA and Junichi INOGUCHI Timelike surfaces with
113
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