72 citations · 119 across the 5 of their papers we have counts for
6 papers
Riemannian flow techniques on totally geodesic null hypersurfaces
Manuel Gutiérrez, Raymond A. Hounnonkpe
We study the influence of the existence of totally geodesic null hypersurface on the properties of a Lorentzian manifold. By coupling the rigging technique with the existence of a…
New properties on normalized null hypersurfaces
Cyriaque Atindogbe, Manuel Gutiérrez, Raymond Hounnonkpe
Rigging technique introduced in \cite{bi0} is a convenient way to address the study of null hypersurfaces. It offers in addition the extra benefit of inducing a Riemannian structur…
Induced Riemannian structures on null hypersurfaces
Manuel Gutierrez, Benjamin Olea
Given a null hypersurface of a Lorentzian manifold, we construct a Riemannian metric on it from a fixed transverse vector field . We study the relationship b…
Uniqueness of static decompositions
Manuel Gutiérrez, Benjamín Olea
We classify static manifolds which admit more than one static decomposition whenever a condition on the curvature is fullfilled. For this, we take a standard static vector field an…
Global decomposition of a Lorentzian manifold as a Generalized Robertson-Walker space
Manuel Gutierrez, Benjamin Olea
Generalized Robertson-Walker (GRW) spaces constitute a quite important family in Lorentzian geometry, and it is an interesting question to know whether a Lorentzian manifold can be…
Splitting theorems in presence of an irrotational vector field
Manuel Gutierrez, Benjamin Olea
New splitting theorems in a semi-Riemannian manifold which admits an irrotational vector field (not necessarily a gradient) with some suitable properties are obtained. According to…