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

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dc.creatorAledo, Juan A.
dc.creatorGalvez, Jose A.
dc.creatorMira, Pablo
dc.date2005-03-30
dc.date.accessioned2026-07-07T05:18:38Z
dc.date.available2026-07-07T05:18:38Z
dc.descriptionWe 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.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0503702
dc.identifierhttp://arxiv.org/abs/math/0503702
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74727
dc.subjectDifferential Geometry
dc.subject53C42; 53A10
dc.titleMarginally trapped surfaces in L4 and an extended Weierstrass-Bryant representation
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