Warped product skew CR-submanifolds of Kenmotsu manifolds and their applications

Abstract

In this paper, we introduce the notion of warped product skew CR-submanifolds in Kenmotsu manifolds. We obtain several results on such submanifolds. A characterization for skew CR-submanifolds is obtained. Furthermore, we establish an inequality for the squared norm of the second fundamental form of a warped product skew CR-submanifold M 1 × f M ⊥ of order 1 in a Kenmotsu manifold ˜M in terms of the warping function such that M 1 = M T × M θ , where M T , M ⊥ and M θ are invariant, anti-invariant and proper slant submanifolds of ˜M, respectively. Finally, some applications of our results are given.