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Sato, I, On a structure similar to the almost contact structure, Tensor (N.S.), 30 , 219-224, 1976.

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Article

Conformal Curvature Tensor on Para-kenmotsu Manifold

1Department of Mathematics, Vignan Institute of Information Technology, Visakhapatnam, Andhra Pradesh, India

2Department of Mathematics, Gayatri Vidya Parishad College of Engineering for Women, Visakhapatnam, Andhra Pradesh, India

3Department of Mathematics, Jawaharlal Nehru Technological University, Kakinada, Andhra Pradesh, India


Turkish Journal of Analysis and Number Theory. 2017, Vol. 5 No. 2, 27-30
DOI: 10.12691/tjant-5-2-1
Copyright © 2017 Science and Education Publishing

Cite this paper:
S.Sunitha Devi, K.L.Sai Prasad, G.V.S.R. Deekshitulu. Conformal Curvature Tensor on Para-kenmotsu Manifold. Turkish Journal of Analysis and Number Theory. 2017; 5(2):27-30. doi: 10.12691/tjant-5-2-1.

Correspondence to: K.L.Sai  Prasad, Department of Mathematics, Gayatri Vidya Parishad College of Engineering for Women, Visakhapatnam, Andhra Pradesh, India. Email: klsprasad@yahoo.com

Abstract

The object of this paper is to obtain the characterisation of para-Kenmotsu (briefly P-Kenmotsu) manifold satisfying the conditions R(ξ,X).C-C(ξ,X).R= 0 and R(ξ,X).C-C(ξ,X).R=LcQ(g,C), where C(X,Y) is the Weyl-conformal curvature tensor, Lc is some function and X∈ T(Mn). It is shown respectively that the P-Kenmotsu manifold with these conditions is an η-Einstein manifold and the manifold is either conformally flat (or) Lc = -1 holds on the manifold.

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