Contact CR-warped product submanifolds in generalized Sasakian space forms. (English) Zbl 1250.53017
Summary: We consider a contact CR-warped product submanifold \(M=M_{\top} \times_{f}M_{\bot}\) 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.
MSC:
53B25 | Local submanifolds |
53C40 | Global submanifolds |
53C25 | Special Riemannian manifolds (Einstein, Sasakian, etc.) |