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

Title & Authors
LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE
Jin, Dae-Ho;

Abstract
In this paper, we study the geometry lightlike hypersurfaces (M, $\small{g}$, S(TM)) of a semi-Riemannian manifold ($\small{\tilde{M}}$, $\small{\tilde{g}}$) of quasi-constant curvature subject to the conditions: (1) The curvature vector field of $\small{\tilde{M}}$ is tangent to M, and (2) the screen distribution S(TM) is either totally geodesic in M or totally umbilical in $\small{\tilde{M}}$.
Keywords
totally geodesic;totally umbilical;lightlike hypersurface;semi-Riemannian manifold of quasi-constant curvature;
Language
English
Cited by
1.
A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE ADMITS SOME HALF LIGHTLIKE SUBMANIFOLDS,;

대한수학회보, 2013. vol.50. 3, pp.1041-1048
2.
LIGHTLIKE HYPERSURFACES OF INDEFINITE KAEHLER MANIFOLDS OF QUASI-CONSTANT CURVATURES,;

East Asian mathematical journal, 2014. vol.30. 5, pp.599-607
1.
A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE ADMITS SOME HALF LIGHTLIKE SUBMANIFOLDS, Bulletin of the Korean Mathematical Society, 2013, 50, 3, 1041
2.
LIGHTLIKE HYPERSURFACES OF INDEFINITE KAEHLER MANIFOLDS OF QUASI-CONSTANT CURVATURES, East Asian mathematical journal, 2014, 30, 5, 599
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