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Differential geometry and integrable systems : a conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000 by Martin A Guest; Reiko Miyaoka; Yoshihiro Ohnita; Conference on Integrable Systems in Differential Geometry is a nonfiction available to read on EtoBox.

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<p>Ideas and techniques from the theory of integrable systems are playing an increasingly important role in geometry. Thanks to the development of tools from Lie theory, algebraic geometry, symplectic geometry, and topology, classical problems are investigated more systematically. New problems are also arising in mathematical physics. A major international conference was held at the University of Tokyo in July 2000. It brought together scientists in all of the areas influenced by integrable systems. This book is the first of three collections of expository and research articles. This volume focuses on differential geometry. It is remarkable that many classical objects in surface theory and submanifold theory are described as integrable systems. Having such a description generally reveals previously unnoticed symmetries and can lead to surprisingly explicit solutions. Surfaces of constant curvature in Euclidean space, harmonic maps from surfaces to symmetric spaces, and analogous structures on higher-dimensional manifolds are some of the examples that have broadened the horizons of differential geometry, bringing a rich supply of concrete examples into the theory of integrable syste

Who reads Differential geometry and integrable systems : a conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000?

Author

Martin A Guest; Reiko Miyaoka; Yoshihiro Ohnita; Conference on Integrable Systems in Differential Geometry

Publisher

American Mathematical Society

Published

2002

Language

EN

ISBN

9780821856444

Category

nonfiction

Subjects

Mathematics, Stem