S. Kashani

activity

20092020

collaborators

4 papers

math.DG2020

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 $G$ when there exists a left-invariant Killing vector field $Z$ on $G$ …

math.DG2018

Semi-Riemannian hypersurfaces in $L^{n + 1}$ 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 $Ł^{n + 1}$ that carry a totally geodesic foliation with complete leaves of codimension one. We prove that such a hypersurface is rul…

math.DG2018

Real hypersurfaces in $Q^{m}$ 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 $Q^{m}$ whose structure Jacobi operator commutes with their structure tensor field. We show that the Reeb curva…

math.DG2009

Hypersurfaces in space forms satisfying the condition $L_{k} x = A x + b$

Luis J. Alias, S. M. B. Kashani

We study hypersurfaces either in the sphere \s{n+1} or in the hyperbolic space \h{n+1} whose position vector $x$ satisfies the condition $L_{k} x = A x + b$ , where $L_{k}$ is the linearized…

Geodesic completeness of some Lorentzian simple Lie groups

Semi-Riemannian hypersurfaces in Ln+1 with a totally geodesic foliation of codimension one

Real hypersurfaces in Qm with commuting structure Jacobi operator

Hypersurfaces in space forms satisfying the condition Lk​x=Ax+b

Semi-Riemannian hypersurfaces in $L^{n + 1}$ with a totally geodesic foliation of codimension one

Real hypersurfaces in $Q^{m}$ with commuting structure Jacobi operator

Hypersurfaces in space forms satisfying the condition $L_{k} x = A x + b$