LIGHTLIKE REAL HYPERSURFACES WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS

Title & Authors
LIGHTLIKE REAL HYPERSURFACES WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS
Jin, Dae-Ho;

Abstract
In this paper, we study the geometry of lightlike real hyper-surfaces of an indefinite Kaehler manifold. The main result is a characterization theorem for lightlike real hypersurfaces M of an indefinite complex space form $\small{\bar{M}(c)}$ such that the screen distribution is totally umbilic.
Keywords
lightlike real hypersurface;totally umbilical distribution;indefinite complex space form;
Language
English
Cited by
1.
NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS ADMITTING NON-METRIC π-CONNECTIONS,Jin, Dae Ho;

대한수학회논문집, 2014. vol.29. 4, pp.539-547
2.
NON-EXISTENCE OF TOTALLY GEODESIC SCREEN DISTRIBUTIONS ON LIGHTLIKE HYPERSURFACES OF INDEFINITE KENMOTSU MANIFOLDS,Jin, Dae Ho;

대한수학회논문집, 2013. vol.28. 2, pp.353-360
3.
REAL HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL PROPERTIES,Jin, Dae-Ho;

한국수학교육학회지시리즈B:순수및응용수학, 2010. vol.17. 1, pp.51-63
4.
LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD,Jin, Dae-Ho;

대한수학회논문집, 2012. vol.27. 2, pp.307-315
5.
LIGHTLIKE HYPERSURFACES OF INDEFINITE KAEHLER MANIFOLDS OF QUASI-CONSTANT CURVATURES,Jin, Dae Ho;

East Asian mathematical journal , 2014. vol.30. 5, pp.599-607
1.
LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD, Communications of the Korean Mathematical Society, 2012, 27, 2, 307
2.
NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS ADMITTING NON-METRIC π-CONNECTIONS, Communications of the Korean Mathematical Society, 2014, 29, 4, 539
3.
NON-EXISTENCE OF TOTALLY GEODESIC SCREEN DISTRIBUTIONS ON LIGHTLIKE HYPERSURFACES OF INDEFINITE KENMOTSU MANIFOLDS, Communications of the Korean Mathematical Society, 2013, 28, 2, 353
4.
LIGHTLIKE HYPERSURFACES OF INDEFINITE KAEHLER MANIFOLDS OF QUASI-CONSTANT CURVATURES, East Asian mathematical journal, 2014, 30, 5, 599
References
1.
A. Bejancu and K. L. Duggal, Real hypersurfaces of indefinite Kaehler manifolds, Internat. J. Math. Math. Sci. 16 (1993), no. 3, 545–556.

2.
K. L. Duggal and A. Bejancu,Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Mathematics and its Applications, 364. Kluwer Academic Publishers Group, Dordrecht, 1996.

3.
K. L. Duggal and D. H. Jin, Null curves and Hypersurfaces of Semi-Riemannian Manifolds, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2007.

4.
K. Nomizu and U. Pinkall, On the geometry of affine immersions, Math. Z. 195 (1987), no. 2, 165–178.

5.
B. O’Neill, Semi-Riemannian Geometry with Applications to Relativity, Academic Press, 1983.

6.
Y. Tashiro and S. I. Tachibana, On Fubinian and C-Fubinian manifolds, Kodai Math. Sem. Rep. 15 (1963), 176–183.