PROLONGATION OF HYPERSURFACES WITH QUARTER SYMMETRIC METRIC CONNECTION TO TANGENT BUNDLE

ABSTRACT

 The present paper is to considering the Lifting theory, we study lift of hypersurfaces with quarter symmetric metric in connection to the  tangent bundles and to obtain certain results on totally geodesic. Also we obtain structure equations with respect to quarter symmetric metric connection.

 AMS Subject Classification: 53C05, 53C15, 53C22, 53B25, 53C40.

 Keywords and phrases: Lift, hypersurfaces, tangent bundles, quarter symmetric metric connection.