A Note on Doubly Warped Product Contact CR-Submanifolds in trans-Sasakian Manifolds
نویسنده
چکیده
Warped product CR-submanifolds in Kählerian manifolds were intensively studied only since 2001 after the impulse given by B.Y. Chen in [2], [3]. Immediately after, another line of research, similar to that concerning Sasakian geometry as the odd dimensional version of Kählerian geometry, was developed, namely warped product contact CR-submanifolds in Sasakian manifolds (cf. [6], [7]). In this note we proved that there exists no proper doubly warped product contact CR-submanifolds in trans-Sasakian manifolds. Mathematics Subject Classification (2000): 53C25, 53C40.
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