Sigma Models and Minimal Surfaces

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Sigma_models_and_minimal_surfaces.pdf (112.47 KB)

Date

1998

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Abstract

Correspondence is established between sigma models, minimal surfaces and the Monge-Ampére equation. The Lax pairs of the minimality condition of the minimal surfaces and the Monge-Ampére equations are given. Existence of infinitely many nonlocal conservation laws is shown and some Bäcklund transformations are also given.

Source Title

Letters in Mathematical Physics

Publisher

Springer Netherlands

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Keywords

Bäcklund transformations, Conservation laws, Integrability, Minimal surfaces, Sigma models

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http://hdl.handle.net/11693/25475

Published Version (Please cite this version)

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Scholarly Publications - Mathematics

Language

English

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Article