2 papers
math.DG2014
Four-dimensional naturally reductive pseudo-Riemannian spaces
Wafaa Batat, Marco Castrillon Lopez, Eugenia Rosado Maria
The classification of 4-dimensional naturally reductive pseudo-Riemannian spaces is given. This classification comprises symmetric spaces, the product of 3-dimensional naturally re…
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…