Conformal Vector Fields and Null Hypersurfaces
نویسندگان
چکیده
Abstract We give conditions for a conformal vector field to be tangent null hypersurface. particularize two important cases: Killing and closed field. In the first case, we obtain result ensuring that hypersurface is horizon. second one, gives rise foliation of manifold by totally umbilical hypersurfaces with constant mean curvature which can spacelike, timelike or null. prove several results ensure leaf this foliation.
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ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2022
ISSN: ['1420-9012', '1422-6383']
DOI: https://doi.org/10.1007/s00025-022-01653-0