eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2015-10-16 3 4 94 96 10.12691/tjant-3-4-1 TJANT2015341 article K. L. Sai Prasad klsprasad@yahoo.com 1 T. Satyanarayana 2 Department of Mathematics, Gayatri Vidya Parishad College of Engineering for Women, Visakhapatnam, Andhra Pradesh, India Department of Mathematics, Pragathi Engineering College, Surampalem, Near Peddapuram, Andhra Pradesh, India The object of the present paper is to study some properties of curvature tensor of a semi-symmetric non-metric connection in a type of special paracontact Kenmotsu (briefly SP-Kenmotsu) manifold. We have deduced the expressions for curvature tensor and the Ricci tensor of Mn with respect to semi-symmetric non-metric connection . It is proved that in an SP-Kenmotsu manifold if the curvature tensor of the semi-symmetric non-metric connection vanishes then the manifold is projectively flat. http://pubs.sciepub.com/tjant/3/4/1/tjant-3-4-1.pdf curvature tensor ricci tensor projective curvature tensor non-metric connection sp-kenmotsu manifold