4 papers
Geodesic completeness of some Lorentzian simple Lie groups
E. Ebrahimi, S. M. B. Kashani, M. J. Vanaei
In this paper we investigate geodesic completeness of left-invariant Lorentzian metrics on a simple Lie group when there exists a left-invariant Killing vector field on …
Semi-Riemannian hypersurfaces in with a totally geodesic foliation of codimension one
S. M. B. Kashani, M. J. Vanaei, S. M. Yaghoobi
We classify hypersurfaces of the Minkowski space that carry a totally geodesic foliation with complete leaves of codimension one. We prove that such a hypersurface is rul…
Real hypersurfaces in with commuting structure Jacobi operator
N. Heidari, S. M. B. Kashani, M. J. Vanaei
In this paper we study real hypersurfaces in the complex quadric space whose structure Jacobi operator commutes with their structure tensor field. We show that the Reeb curva…
Cohomogeneity one actions on Minkowski spaces
Jurgen Berndt, Jose Carlos Diaz-Ramos, Mohammad Javad Vanaei
We study isometric cohomogeneity one actions on the (n+1)-dimensional Minkowski space up to orbit-equivalence. We give examples of isometric cohomogeneity one actions on the Minkow…