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http://dx.doi.org/10.4134/CKMS.2012.27.4.763

LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE  

Jin, Dae-Ho (Department of Mathematics Dongguk University)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.4, 2012 , pp. 763-770 More about this Journal
Abstract
In this paper, we study the geometry lightlike hypersurfaces (M, $g$, S(TM)) of a semi-Riemannian manifold ($\tilde{M}$, $\tilde{g}$) of quasi-constant curvature subject to the conditions: (1) The curvature vector field of $\tilde{M}$ is tangent to M, and (2) the screen distribution S(TM) is either totally geodesic in M or totally umbilical in $\tilde{M}$.
Keywords
totally geodesic; totally umbilical; lightlike hypersurface; semi-Riemannian manifold of quasi-constant curvature;
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