Surveys On Geometry And Integrable Systems

Name: Surveys On Geometry And Integrable Systems
Brand: Mathematical Society of Japan
Price: 237.75 AUD

By: Martin A. Guest

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Hardcover | 11 January 2008

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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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Non-Fiction Mathematics Geometry Differential & Riemannian Geometry Science Physics Mathematical Physics

Exploring surfaces through methods from the theory of integrable systems: The Bonnet problem	p. 1
Generalized Weierstra? representations of surfaces	p. 55
Timelike surfaces with harmonic inverse mean curvature	p. 113
Darboux transformations and generalized self-dual Yang-Mills flows	p. 143
From CMC surfaces to Hamiltonian stationary Lagrangian surfaces	p. 163
Special Lagrangian 3-folds and integrable systems	p. 189
Quantum product, topological recursion relations, and the Virasoro conjecture	p. 235
A generalized Weierstrass representation for a submanifold S in En arising from the submanifold Dirac operator	p. 259
Harmonic tori and their spectral data	p. 285
Isoparametric geometry and related fields	p. 315
Kähler Ricci solitons	p. 339
Period problems for mean curvature one surfaces in H3 (with applications to surfaces of low total curvature)	p. 347
Geometries and symmetries of soliton equations and integrable elliptic equations	p. 401
A-integrability of geodesic flows and geodesic equivalence	p. 489
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Surveys On Geometry And Integrable Systems

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