On Lightlike Hypersurfaces of a Semi-Riemannian Space form

Authors: RIFAT GÜNEŞ, BAYRAM ŞAHİN, EROL KILIÇ

Abstract: In this paper, we study a Lightlike hypersurface of a semi-Riemann manifold. We show that a lightlike hypersurface is totally geodesic if and only if it is locally symmetric. Also, we show that a lightlike Hypersurface of IR_{4q}^{4m}(m,q > 1) is totally geodesic under some restrictions. Finally, we give some results on Ricci curvature of a lightlike hypersurface to be symmetric.

Keywords:

Full Text: PDF