On warped product semi-slant submanifolds of nearly Trans-Sasakian manifolds

Abstract

In this paper, we study the existence of warped product semi-
slant submanifold of type $M=N_T\times_fN_\theta$ with slant ber, isometrically
immersed in a nearly Trans-Sasakian manifold by nding necessary and
sucient conditions in terms of Weingarten operator, which generalized
such conditions to all contact metric manifolds. That is, we show that
how to reduce a semi-slant submanifold to be a warped product semi-
slant submanifold of a nearly Trans-Sasakian manifold.