HYPERBOLIC KENMOTSU MANIFOLD ADMITTING A NEW TYPE OF SEMI-SYMMETRIC NON-METRIC CONNECTION

In this work, we study a new type of semi -symmetric non -metric connection on hyperbolic Kenmotsu manifold. Some Riemannian curvature's characteristics on hyperbolic Kenmotsu manifold are investigated. The properties of semi -symmetric, locally phi -symmetric and Ricci semi -symmetric hyperbolic Kenmotsu manifold endowed with a new type of semi -symmetric non -metric connection are evaluated. A semi -symmetric and Ricci semi -symmetric hyperbolic Kenmotsu manifold with a semi -symmetric nonmetric connection is also demonstrated, the Ricci soliton of data (g(1), xi(sic), lambda) is shrinking. Finally, we demonstrate our results with a 3 -dimensional example.