CR-SUBMANIFOLDS OF A NEARLY TRANS-HYPERBOLIC SASAKIAN MANIFOLD WITH RESPECT TO SEMI SYMMETRIC NON-METRIC CONNECTION

CR-SUBMANIFOLDS OF A NEARLY TRANS-HYPERBOLIC SASAKIAN MANIFOLD WITH RESPECT TO SEMI SYMMETRIC NON-METRIC CONNECTION

P. ALMIA, J. UPRETI

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Abstract. The present paper deals with the study of CR-submanifolds of Nearly Trans- Hyperbolic Sasakian manifold with respect to semi symmetric Non-metric connection. Nijenhuis tensor, integrability conditions for some distributions on CR-submanifolds of a nearly trans-hyperbolic Sasakian manifold with respect to semi symmetric non-metric connection are discussed.

CR-submanifolds, Nearly Trans-Hyperbolic Sasakian manifold, semi symmet- ric non-metric connection, Gauss and Weingarten equations, parallel distributions.

AMS Subject Classification: 53C40, 53C15.