• ON SEMI SYMMETRIC METRIC -CONNECTION ON AN UNIFIED PARA-NORDEN CONTACT METRIC STRUCTURE MANIFOLD

Abstract

The present paper deals with the different geometrical properties of an unified para-norden contact metric structure manifold [12] equipped with semi-symmetric metric -connection. We find the expression for the curvature tensor of an unified para-norden contact metric structure manifold that admits a type of semi-symmetric metric -connection .Finally we obtain certain conditions under which two different curvature tensors with respect to the Riemannian connection are identical. Also we study the properties of curvature tensors, conformal curvature tensor, projective curvature tensor, con-harmonic curvature tensor and con-circular curvature tensor with respect to the semi-symmetric metric -connection.