Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 3 4 2015 10 16 Some Curvature Properties on a Special Paracontact Kenmotsu Manifold with Respect to Semi-Symmetric Connection 94 96 EN K. L. Sai Prasad Department of Mathematics, Gayatri Vidya Parishad College of Engineering for Women, Visakhapatnam, Andhra Pradesh, India T. Satyanarayana TJANT2015341 10.12691/tjant-3-4-1 2015 5 21 2015 9 20 2015 10 14 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.