Turkish Journal of Mathematics
DOI
-
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.
First Page
283
Last Page
297
Recommended Citation
GÜNEŞ, RIFAT; ŞAHİN, BAYRAM; and KILIÇ, EROL (2003) "On Lightlike Hypersurfaces of a Semi-Riemannian Space form," Turkish Journal of Mathematics: Vol. 27: No. 2, Article 3. Available at: https://journals.tubitak.gov.tr/math/vol27/iss2/3
