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oai:riuma.uma.es:10630/244512026-02-03T10:52:07Zcom_10630_2254col_10630_37953

Conformal Vector Fields and Null Hypersurfaces Atindogbé, Cyriaque Olea, Benjamín Algebra de vectores We give conditions for a conformal vector field to be tangent to a null hypersurface. We particularize to two important cases: a Killing vector field and a closed and conformal vector field. In the first case, we obtain a result ensuring that a null hypersurface is a Killing horizon. In the second one, the vector field gives rise to a foliation of the manifold by totally umbilical hypersurfaces with constant mean curvature which can be spacelike, timelike or null. We prove several results which ensure that a null hypersurface with constant null mean curvature is a leaf of this foliation. 2022-06-21T10:28:18Z 2022-06-21T10:28:18Z 2022-05-03 journal article Atindogbé, C., Olea, B. Conformal Vector Fields and Null Hypersurfaces. Results Math 77, 129 (2022). https://doi.org/10.1007/s00025-022-01653-0 https://hdl.handle.net/10630/24451 https://doi.org/10.1007/s00025-022-01653-0 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Springer