eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences August 2009 21 2 485 490 jusps-A 1214 article Sushil Shukla (geometry@yahoo.co.in) 1 Department of Mathematics, University of Allahabad, Allahabad - 211002 (INDIA) <p style="text-align: justify;">In 1926, H. Levy proved that a second order symmetric parallel non singular tensor on a space of constant curvature is a constant multiple of the metric tensor. R. Sharma generalized Levy&#39;s result and studied second order parallel tensor on a K&auml;hler space of constant holomorphic sectional curvature as well as on a compact K-contact manifold without boundary. U.C. De and Debasish Tarafdar showed that for a P-Sasakian manifold M with a symmetric parallel tensor of type (0,2) is also a constant multiple of the metric tensor and there is no parallel 2-form on M.</p> <p>In this paper, We have studied symmetric and skew-symmetric second order parallel tensor on a Kenmotsu manifold.</p> https://www.ultrascientist.org/paper/1214/ on Unit Circle Kenmotsu Manifold