Links Between Different Analytic Descriptions of Constant Mean Curvature Surfaces
作者:
E.V. Ferapontov,
A.M. Grundland,
期刊:
Journal of Nonlinear Mathematical Physics
(Taylor Available online 2000)
卷期:
Volume 7,
issue 1
页码: 14-21
ISSN:1402-9251
年代: 2000
DOI:10.2991/jnmp.2000.7.1.2
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Transformations between different analytic descriptions of constant mean curvature (CMC) surfaces are established. In particular, it is demonstrated that the systemdescriptive of CMC surfaces within the framework of the generalized Weierstrass representation, decouples into a direct sum of the elliptic Sh-Gordon and Laplace equations. Connections of this system with the sigma model equations are established. It is pointed out, that the instanton solutions correspond to different Weierstrass parametrizations of the standard sphereS2⊂E3.
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