The Smallest Dimension Submanifolds of Para beta-Kenmotsu Manifold

Abstract

In this paper, we have studied the smallest dimensional submanifold of para beta-Kenmotsu manifold. Necessary and sufficient conditions are given on 3-dimensional submanifolds of a 5-dimensional para beta-Kenmotsu manifold to be a slant submanifold. After that, we have studied the 3-dimensional minimal slant submanifolds of para beta-Kenmotsu manifold.