72 citations · 119 across the 6 of their papers we have counts for
6 papers · 1 filter
Totally umbilic null hypersurfaces in generalized Robertson-Walker spaces
Manuel Gutiérrez, Benjamín Olea
We show that there is a correspondence between totally umbilic null hypersurfaces in generalized Robertson-Walker spaces and twisted decompositions of the fibre. This allows us to…
Canonical variation of a Lorentzian metric
Benjamin Olea
Given a Lorentzian manifold and a timelike unitary vector field , we can construct the Riemannian metric , being the metrically equivalent one…
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…