Contact CR-warped product submanifolds in generalized Sasakian space forms

Abstract

We consider a contact CR-warped product submanifold M = $M_Tx _f M_{\bot}$ of a trans-Sasakian generalized Sasakian space form $\widetilde{M}(f_{1,} f_{2,}f_3)$. We show that M is a contact CR-product under certain conditions.