Isometric immersions into the Minkowski spacetime for Lorentzian manifolds with limited regularity

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dc.creatorLeFloch, Philippe G.
dc.creatorMardare, Cristinel
dc.creatorMardare, Sorin
dc.date2007-12-27
dc.date.accessioned2026-07-07T08:51:23Z
dc.date.available2026-07-07T08:51:23Z
dc.descriptionAssuming minimal regularity assumptions on the data, we revisit the classical problem of finding isometric immersions into the Minkowski spacetime for hypersurfaces of a Lorentzian manifold. Our approach encompasses metrics having Sobolev regularity and Riemann curvature defined in the distributional sense, only. It applies to timelike, spacelike, or null hypersurfaces with arbitrary signature that possibly changes from point to point.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/0712.4214
dc.identifierhttp://arxiv.org/abs/0712.4214
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144919
dc.subjectClassical Analysis and ODEs
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectDifferential Geometry
dc.subject53C50; 83C99; 51B20
dc.titleIsometric immersions into the Minkowski spacetime for Lorentzian manifolds with limited regularity
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