Geodesic
Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature
Communications in Mathematics, Tome 27 (2019) no. 1, pp. 1-12
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We study lightlike hypersurfaces $M$ of an indefinite Kaehler manifold $\bar {M}$ of quasi-constant curvature subject to the condition that the characteristic vector field $\zeta $ of $\bar {M}$ is tangent to $M$. First, we provide a new result for such a lightlike hypersurface. Next, we investigate such a lightlike hypersurface $M$ of $\bar {M}$ such that (1) the screen distribution $S(TM)$ is totally umbilical or (2) $M$ is screen conformal.
We study lightlike hypersurfaces $M$ of an indefinite Kaehler manifold $\bar {M}$ of quasi-constant curvature subject to the condition that the characteristic vector field $\zeta $ of $\bar {M}$ is tangent to $M$. First, we provide a new result for such a lightlike hypersurface. Next, we investigate such a lightlike hypersurface $M$ of $\bar {M}$ such that (1) the screen distribution $S(TM)$ is totally umbilical or (2) $M$ is screen conformal.
Classification : 53C25, 53C40, 53C50
Keywords: Totally umbilical; Screen conformal; quasi-constant curvature 
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Jin, Dae Ho; Lee, Jae Won. Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature. Communications in Mathematics, Tome 27 (2019) no. 1, pp. 1-12. http://geodesic.mathdoc.fr/item/COMIM_2019_27_1_a0/

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