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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Original Article

Kyungpook Mathematical Journal 2010; 50(2): 267-279

Published online June 23, 2010

Copyright © Kyungpook Mathematical Journal.

Screen Slant Lightlike Submanifolds of Inde?nite Kenmotsu
Manifolds

Ram Shankar Gupta, Abhitosh Upadhyay

University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University, Kashmere Gate, Delhi-110006, India

Received: June 23, 2010; Revised: June 23, 2010; Accepted: June 23, 2010

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 man-
ifold