RT Journal Article
T1 Conformal Vector Fields and Null Hypersurfaces
A1 Atindogbé, Cyriaque
A1 Olea, Benjamín
K1 Algebra de vectores
AB 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.
PB Springer
YR 2022
FD 2022-05-03
LK https://hdl.handle.net/10630/24451
UL https://hdl.handle.net/10630/24451
LA eng
NO Atindogbé, C., Olea, B. Conformal Vector Fields and Null Hypersurfaces. Results Math 77, 129 (2022). https://doi.org/10.1007/s00025-022-01653-0
NO Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. Funding for open access charge: Universidad de Málaga/ CBUA. The second author is partially supported by Ministry of Sciences and Innovation (MICINN) I+D+I Grant No. PID2020-118452GB-I00 and Junta de Andalucía-FEDER research Project UMA18-FEDERJA-183. Funding for open access charge: Universidad de Málaga / CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026