Semi-symmetric and Ricci semi-symmetric lightlike hypersurfaces of an indefinite generalized Sasakian space form. (English) Zbl 1308.53088
Summary: In this paper, we study semi-symmetric, Ricci semi-symmetric lightlike hypersurfaces of a indefinite generalized Sasakian space form with structure vector field tangent to hypersurface. We obtain the condition for Ricci tensor of lightlike hypersurface of indefinite generalized Sasakian space form to be symmetric and parallel.
MSC:
| 53C40 | Global submanifolds |
| 53C25 | Special Riemannian manifolds (Einstein, Sasakian, etc.) |
| 53C50 | Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics |
