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LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE
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 Title & Authors
LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE
Jin, Dae-Ho;
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 Abstract
In this paper, we study the geometry lightlike hypersurfaces (M, , S(TM)) of a semi-Riemannian manifold (, ) of quasi-constant curvature subject to the conditions: (1) The curvature vector field of is tangent to M, and (2) the screen distribution S(TM) is either totally geodesic in M or totally umbilical in .
 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 crossref(new window)
2.
LIGHTLIKE HYPERSURFACES OF INDEFINITE KAEHLER MANIFOLDS OF QUASI-CONSTANT CURVATURES,;

East Asian mathematical journal , 2014. vol.30. 5, pp.599-607 crossref(new window)
1.
A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE ADMITS SOME HALF LIGHTLIKE SUBMANIFOLDS, Bulletin of the Korean Mathematical Society, 2013, 50, 3, 1041  crossref(new windwow)
2.
LIGHTLIKE HYPERSURFACES OF INDEFINITE KAEHLER MANIFOLDS OF QUASI-CONSTANT CURVATURES, East Asian mathematical journal , 2014, 30, 5, 599  crossref(new windwow)
 References
1.
M. C. Chaki and R. K. Maity, On quasi-Einstein manifolds, Publ. Math. Debrecen 57 (2000), no. 3-4, 297-306.

2.
B. Y. Chen and K. Yano, Hypersurfaces of a conformally flat space, Tensor (N. S.) 26 (1972), 318-322.

3.
K. L. Duggal, On scalar curvature in lightlike geometry, J. Geom. Phys. 57 (2007), no. 2, 473-481. crossref(new window)

4.
K. L. Duggal and A. Bejancu, Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Acad. Publishers, Dordrecht, 1996.

5.
K. L. Duggal and D. H. Jin, Null curves and Hypersurfaces of Semi-Riemannian Manifolds, World Scientific, 2007.

6.
K. L. Duggal and D. H. Jin, A classification of Einstein lightlike hypersurfaces of a Lorentzian space form, J. Geom. Phys. 60 (2010), no. 12, 1881-1889. crossref(new window)