Trapped submanifolds in Lorentzian geometry

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dc.creatorSenovilla, José M M
dc.date2004-12-13
dc.date2005-06-16
dc.date.accessioned2026-07-07T05:15:15Z
dc.date.available2026-07-07T05:15:15Z
dc.descriptionThe concept of closed trapped surface is of paramount importance in General Relativity and other gravitational theories. However, it is a purely geometrical object. With the aim of bringing this concept to closer attention by the mathematical community, I introduce the generalized idea of trapped submanifold by using the causal character of the mean curvature vector. Trapped surfaces can thus be easily seen to be generalizations, possible in semi-Riemannian geometry, of the standard concepts of minimal surfaces, maximal hypersurfaces, geodesics, and the like. Selected applications are mentioned.
dc.descriptionContribution to the proceedings of the XIII Fall Workshop on Geometry and Physics, (Murcia, Spain, 2004); Introduction added and minor corrections made
dc.identifierhttps://arxiv.org/abs/math/0412256
dc.identifierhttp://arxiv.org/abs/math/0412256
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73572
dc.subjectDifferential Geometry
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subject53B25, 53B30, 53B50
dc.titleTrapped submanifolds in Lorentzian geometry
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