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Conformal Vector Fields and Null Hypersurfaces
Atindogbé, Cyriaque; Olea, Benjamín (Springer, 2022-05-03)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 ... -
Contact structures on null hypersurfaces
Atindogbé, Cyriaque; Gutiérrez-López, Manuel; Hounnonkpe, Raymond; Olea, Benjamín (Elsevier, 2022-08)
The aim of this paper is to show how we can induce contact structures, contact metric structures and Sasaki structures on a null hypersurface from a rigging vector field. We give several explicit examples of this construction ...