Some Curvature Properties on a Special Paracontact Kenmotsu Manifold with Respect to Semi-Symmetric Connection

K. L. Sai Prasad^1, and T. Satyanarayana²

¹Department of Mathematics, Gayatri Vidya Parishad College of Engineering for Women, Visakhapatnam, Andhra Pradesh, India

²Department of Mathematics, Pragathi Engineering College, Surampalem, Near Peddapuram, Andhra Pradesh, India

Cite this paper:
K. L. Sai Prasad and T. Satyanarayana. Some Curvature Properties on a Special Paracontact Kenmotsu Manifold with Respect to Semi-Symmetric Connection. Turkish Journal of Analysis and Number Theory. 2015; 3(4):94-96. doi: 10.12691/tjant-3-4-1

Abstract

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 M_n 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.

Keywords:
curvature tensor ricci tensor projective curvature tensor non-metric connection sp-kenmotsu manifold

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