Contact CR-product of a trans-Sasakian manifold


We obtain a necessary and sufficient condition for a CR-submanifold of a trans-Sasakian manifold to be contact CR-product in terms of fundamental tensor of Weingarten with respect to the normal section as well as to the canonical structure. We have also obtained some results on CR- submanifolds of 𝛼-Sasakian and 𝛽-Kenmotsu manifolds.

DOI Code: 10.1285/i15900932v14n1p91

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