eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2015-12-18 3 6 145 148 10.12691/tjant-3-6-1 TJANT2015361 article T. Satyanarayana 1 K. L. Sai Prasad klsprasad@yahoo.com 2 Department of Mathematics, Pragathi Engineering College, Surampalem, Andhra Pradesh, India Department of Mathematics, Gayatri Vidya Parishad College of Engineering for Women, Visakhapatnam, Andhra Pradesh, India In this paper we study some remarkable properties of para Kenmotsu (briefly p-Kenmotsu) manifolds satisfying the conditions R(X,Y).R=0, R(X,Y).P=0 and P(X,Y).R=0, where R(X, Y) is the Riemannian curvature tensor and P(X, Y) is the Weyl projective curvature tensor of the manifold. It is shown that a semi-symmetric p-Kenmotsu manifold (Mn, g) is of constant curvature and hence is an sp-Kenmotsu manifold. Also, we obtain the necessary and sufficient condition for a p-Kenmotsu manifold to be Weyl projective semi-symmetric and shown that the Weyl projective semi-symmetric p-Kenmotsu manifold is projectively flat. Finally we prove that if the condition P(X,Y).R=0 is satisfied on a p-Kenmotsu manifold then its scalar curvature is constant. http://pubs.sciepub.com/tjant/3/6/1/tjant-3-6-1.pdf para Kenmotsu manifolds curvature tensor projective curvature tensor scalar curvature