Screw invariant marginally trapped surfaces in Minkowski 4-space |
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Authors: | Stefan Haesen |
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Affiliation: | a Simon Stevin Institute for Geometry, Wilhelminaweg 1, 2042 Zandvoort, The Netherlands b Departamento de Geometría y Topología, Universidad de Granada, 18071 Granada, Spain |
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Abstract: | A spacelike surface in a Lorentzian manifold whose mean curvature vector is lightlike everywhere is called marginally trapped. The classification of marginally trapped surfaces in Minkowski 4-space which are invariant under a subgroup of the Lorentz group that leaves invariant a lightlike direction, i.e. the so-called screw invariant surfaces, is obtained. As corollaries, the screw invariant marginally trapped surfaces with harmonic mean curvature vector and with prescribed Gaussian curvature are explicitly described. |
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Keywords: | Marginally trapped surface Screw motion Minkowski space |
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