LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE
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초록
In this paper, we study the geometry lightlike hypersurfaces $(M, g, S(TM))$ of a semi-Riemannian manifold $(\widetilde{M}, \widetilde{g})$ of quasi-constant curvature subject to the conditions: (1) The curvature vector field of $\widetilde{M}$ is tangent to $M$, and (2) the screen distribution $S(TM)$ is either totally geodesic in $M$ or totally umbilical in $\widetilde{M}$.
Abstract
In this paper, we study the geometry lightlike hypersurfaces $(M, g, S(TM))$ of a semi-Riemannian manifold $(\widetilde{M}, \widetilde{g})$ of quasi-constant curvature subject to the conditions: (1) The curvature vector field of $\widetilde{M}$ is tangent to $M$, and (2) the screen distribution $S(TM)$ is either totally geodesic in $M$ or totally umbilical in $\widetilde{M}$.
참고문헌 (6)
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- K. L. Duggal, "Null curves and Hypersurfaces of Semi-Riemannian Manifolds" (2007), World Scientific
- 진대호, "A classification of Einstein lightlike hypersurfaces of a Lorentzian space form", JOURNAL OF GEOMETRY AND PHYSICS, 60(12), pp.1881~1889, ELSEVIER SCIENCE BV