Marginally trapped surfaces in L4 and an extended Weierstrass-Bryant representation

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We give a conformal representation in terms of meromorphic data for a certain class of spacelike surfaces in the Lorentz-Minkowski 4-space L^4 whose mean curvature vector is either lightlike or zero at each point. This representation extends simultaneously the Weierstrass representation for minimal surfaces in Euclidean 3-space and for maximal surfaces in the Lorentz-Minkowski 3-space, and the Bryant representation for mean curvature one surfaces in the hyperbolic 3-space and in the de Sitter 3-space.
20 pages

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Differential Geometry, 53C42; 53A10

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http://salesiana.dossiersoluciones.com/handle/123456789/74727

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503702
 http://arxiv.org/abs/math/0503702

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arXiv