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Sigma Models and Minimal Surfaces

Metin Gurses
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Abstract

The correspondance is established between the sigma models, the minimal surfaces and the Monge-Ampere equation. The Lax -Pairs of the minimality condition of the minimal surfaces and the Monge-Ampere equations are given. Existance of infinitely many nonlocal conservation laws is shown and some Backlund transformations are also given.

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Metin Gurses. 1997-12-23. Sigma Models and Minimal Surfaces. https://arxiv.org/abs/solv-int/9712018

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