The smallest dimension submanifolds of para ?-kenmotsu manifold

Abstract

In this paper, we have studied the smallest dimensional submanifold of para ?-Kenmotsu manifold. Necessary and sufficient conditions are given on 3-dimensional submanifolds of a 5-dimensional para ?-Kenmotsu manifold to be a slant submanifold. After that, we have studied the 3-dimensional minimal slant submanifolds of para ?- Kenmotsu manifold. © 2016, Gazi University Eti Mahallesi. All rights reserved.