Sigma Models and Minimal Surfaces

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Author
Gürses M.
Date
1998
Source Title
Letters in Mathematical Physics
Print ISSN
0377-9017
Electronic ISSN
1573-0530
Publisher
Springer Netherlands
Volume
44
Issue
1
Pages
1 - 8
Language
English
Type
Article
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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.
Keywords
Bäcklund transformations
Conservation laws
Integrability
Minimal surfaces
Sigma models
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http://hdl.handle.net/11693/25475
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