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Harmonic maps and integrable systems

✍ Scribed by Fordy, Wood. (eds.)


Year
1994
Tongue
English
Leaves
316
Category
Library

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πŸ“œ SIMILAR VOLUMES


Harmonic maps and integrable systems
✍ Fordy A.P., Wood J.C. πŸ“‚ Library πŸ“… 1994 🌐 English

Explains the ideas involved in applying the theory of integrable systems to finding harmonic maps and related geometric objects. Harmonic maps, which are maps between Riemannian or pseudo- Riemannian manifolds that extremize a natural energy integral, are applied in the theory of minimal an constant

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University-level introduction that leads to topics of current research in the theory of harmonic maps.

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This is an accessible introduction to some of the fundamental connections among differential geometry, Lie groups, and integrable Hamiltonian systems. The text demonstrates how the theory of loop groups can be used to study harmonic maps. By concentrating on the main ideas and examples, the author

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This book intends to give an introduction to harmonic maps between a surface and a symmetric manifold and constant mean curvature surfaces as completely integrable systems. The presentation is accessible to undergraduate and graduate students in mathematics but will also be useful to researchers. It