SEMI SYMMETRIC NON-METRIC S-CONNEXION ON AN ALMOST UNIFIED PARA-NORDEN CONTACT METRIC MANIFOLD

Abstract

In 1924, Friedmann and Schouten have introduced the idea of semi-symmetric linear connexion in a differentiable manifold. In 1970, semi-symmetric connexions were studied by K. Yano in a Riemannian manifold. In 2008, S. K. Chaubey and R. H. Ojha defined a new semi-symmetric non metric and quarter symmetric metric connexion. The purpose of the present paper is to study some properties of semi-symmetric non-metric S-Connexion on an almost unified para-norden contact metric manifold and the form of curvature tensor of the manifold relative to this connexion has been derived. It has been shown that if almost unified para-norden contact metric manifold admits a semi-symmetric non-metric S-connexion whose curvature tensor is locally isometric to the unit sphere (1), then the conformal and conharmonic curvature tensors with respect to the Riemannian connexion are identical iff Some other useful results have been obtained, which are of great geometrical importance.