Slant lightlike submanifolds of indefinite Kenmotsu manifolds

Authors

RAM GUPTA
SHARFUDDIN AHAMAD

Abstract

In this paper, we introduce the notion of a slant lightlike submanifold of an indefinite Kenmotsu manifold. We provide a non-trivial example and obtain necessary and sufficient conditions for the existence of a slant lightlike submanifold. Also, we give an example of a minimal slant lightlike submanifold of R_2^{9} and prove some characterization theorems.

DOI

10.3906/mat-0906-52

Keywords

Degenerate metric, Slant lightlike submanifolds, Kenmotsu manifold

First Page

115

Last Page

127

Recommended Citation

GUPTA, R, & AHAMAD, S (2011). Slant lightlike submanifolds of indefinite Kenmotsu manifolds. Turkish Journal of Mathematics 35 (1): 115-127. https://doi.org/10.3906/mat-0906-52