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math.DG2010★ 44 cited
Ricci Solitons on Lorentzian Manifolds with Large Isometry Groups
W. Batat, M. Brozos-Vazquez, E. Garcia-Rio +1
We show that Lorentzian manifolds whose isometry group is of dimension at least are expanding, steady and shrinking Ricci solitons and steady gradient Ricci s…
math.DG2010
On the Existence of a Codimension 1 Completely Integrable Totally Geodesic Distribution on a Pseudo-Riemannian Heisenberg Group
Wafaa Batat, Salima Rahmani
In this note we prove that the Heisenberg group with a left-invariant pseudo-Riemannian metric admits a completely integrable totally geodesic distribution of codimension 1. This i…