DergiPark (Istanbul University) · 2003 · 17 citations · 0 references
Open access
Natural SciencesMathematicsPhysicsGeometryGravitationRelativityDifferential GeometryGeodesic MotionLow-dimensional GeometryMetric GeometryRiemannian GeometrySpacetime GeometryCurvatureGeodesic Motion On Riemannian ManifoldsRicci CurvatureRicci TensorRiemannian Metric
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 IR4q4m(m,q > 1) is totally geodesic under some restrictions. Finally, we give some results on Ricci curvature of a lightlike hypersurface to be symmetric.