Commun. Korean Math. Soc. 2012; 27(4): 763-770
Printed December 1, 2012
https://doi.org/10.4134/CKMS.2012.27.4.763
Copyright © The Korean Mathematical Society.
Dae Ho Jin
Dongguk University
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 $\widetilde{M}$.
Keywords: totally geodesic, totally umbilical, lightlike hypersurface, semi-Riemannian manifold of quasi-constant curvature
MSC numbers: Primary 53C25, 53C40, 53C50
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