Sigma Models and Minimal Surfaces
solv-int
2007-05-23 v1 Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.solv-int/9712018,
title = {Sigma Models and Minimal Surfaces},
author = {Metin Gurses},
journal= {arXiv preprint arXiv:solv-int/9712018},
year = {2007}
}
Comments
Latex, 13pp, to be published in Letters in Mathematical Physics