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
Turkish Journal of Analysis and Number Theory.
2015,
Vol. 3 No. 4, 94-96
DOI: 10.12691/tjant-3-4-1
Copyright © 2015 Science and Education PublishingCite this paper: K. L. Sai Prasad, 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.
Correspondence to: K. L. Sai Prasad, Department of Mathematics, Gayatri Vidya Parishad College of Engineering for Women, Visakhapatnam, Andhra Pradesh, India. Email:
klsprasad@yahoo.comAbstract
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.
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