IJPAM: Volume 90, No. 1 (2014)

ON PARA KENMOTSU MANIFOLD

K.L. Sai Prasad$^1$, T. Satyanarayana$^2$
$^{1}$Department of Mathematics
Gayatri Vidya Parishad College of Engineering for Women
Madhurawada, Visakhapatnam, 530 048, INDIA
$^{2}$Department of Mathematics
Pragati Engineering College, Surampalem, Near Peddapuram
Andhra Pradesh, INDIA


Abstract. A type of para Kenmotsu (briefly $p$ -Kenmotsu) manifold in which $R(\xi, X). C=0$ has been considered, where $C$ is the conformal curvature tensor of the manifold and $R$ is the curvature transformation. It has been shown that such a manifold is conformally flat and hence is an $sp$ -Kenmotsu manifold.

Received: September 11, 2013

AMS Subject Classification: 53C15

Key Words and Phrases: para contact metric manifold, curvature tensor, Ricci tensor, tangent vector

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DOI: 10.12732/ijpam.v90i1.5 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 90
Issue: 1