In the present paper we have investigated CR-submanifold of a nearly trans- hyperbolic Sasakian manifold. We have also studied parallel distribution relating to vertical CR-submanifold of a nearly trans- hyperbolic Sasakian manifold.
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The purpose of the present paper is to study generalized CR- submanifolds of the trans hyperbolic Sasakian manifold and obtained their basic properties. The conditions under which the distribution of generalized CR-submanifolds of the trans hyperbolic Sasakian manifold is integrable have been obtained. Totally geodesic generalized CR- submanifolds of the trans hyperbolic Sasakian manifold have also been studied.
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