A note on the generalized Weierstrass representation

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The study of the relation between the Weierstrass inducing formulae for constant mean curvature surfaces and the completely integrable euclidean nonlinear sigma-model suggests a connection among integrable sigma -models in a background and other type of surfaces. We show how a generalization of the Weierstrass representation can be achieved and we establish a connection with the Weingarten surfaces. We suggest also a possible generalization for two-dimensional surfaces immersed in a flat space R^8 with Euclidean metric.
8 pages, LateX

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Differential Geometry, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/64599

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0207261
 http://arxiv.org/abs/math/0207261

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arXiv