Slant lightlike submanifolds of indefinite Kenmotsu manifolds

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 $R^9 _2$ and prove some characterization theorems.