[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2010.50.2.267

Screen Slant Lightlike Submanifolds of Indefinite Kenmotsu Manifolds

Gupta, Ram Shankar (University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University)
Upadhyay, Abhitosh (University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University)

Publication Information

Kyungpook Mathematical Journal / v.50, no.2, 2010 , pp. 267-279 More about this Journal

Abstract

In this paper, we introduce the notion of a screen slant lightlike submanifold of an indefinite Kenmotsu manifold. We provide characterization theorem for existence of screen slant lightlike submanifold with examples. Also, we give an example of a minimal screen slant lightlike submanifold of $R_2^9$ and prove some characterization theorems.

Keywords

Degenerate metric; Slant lightlike submanifolds; Kenmotsu manifold;

Citations & Related Records

Times Cited By SCOPUS : 0

Reference

1	Gupta, R. S. and Pandey, P. K., Structure on a slant submanifold of a Kenmotsu manifold, Differential Geometry-Dynamical Systems, Vol. 10, (2008), 139-147.
2	Gupta, R. S., Haider, S. M. K. and Shahid, M. H., Slant submanifolds of Kenmotsu manifolds, Radovi Matematicki, Vol. 12, (2004), 205-214.
3	Kenmotsu, K., A class of almost contact Riemannian manifolds, Tohoku Math J., 21(1972), 93-103.
4	Lotta, A., Slant submanifolds in contact geometry, Bull. Math. Soc. Roumanie 39(1996), 183-198.
5	Sahin, B., Slant lightlike submanifolds of indefinite Hermitian manifolds, Balkan Journal of Geometry and Its Applications, Vol.13, (2008), No.1, 107-119.
6	Sahin, B., Screen slant lightlike submanifolds, Int. Electron. J. Geom., 2(1), (2009), 41-45.
7	Duggal, K. L. and Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Vol. 364 of Mathematics and Its Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1996.
8	Bejan, C. L. and Duggal, K. L., Global lightlike manifolds and harmonicity, Kodai Mathematical Journal, Vol. 28, (2005), no. 1, 131-145. DOI ScienceOn
9	Chen, B. Y., Slant Immersions, Bull. Aust. Math. Soc. 41(1990), 135-147. DOI
10	Chen, B. Y., Geometry of Slant Submanifolds, Katholieke Universiteit, Leuven, 1990.
11	Duggal, K. L. and Sahin, B., Lightlike submanifolds of indefinite Sasakian manifolds, Int. J. of Math. Math. Sci., Article ID 57585, 21 pages (2007).