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.

DOI

First Page

283

Last Page

297

Recommended Citation

GÜNEŞ, R, ŞAHİN, B, & KILIÇ, E (2003). On Lightlike Hypersurfaces of a Semi-Riemannian Space form. Turkish Journal of Mathematics 27 (2): 283-297. https://doi.org/-

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