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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.)