Conformal Curvature Tensor on Para-kenmotsu Manifold

S.Sunitha Devi¹, K.L.Sai Prasad^2, and G.V.S.R. Deekshitulu³

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

Cite this paper:
S.Sunitha Devi, K.L.Sai Prasad and 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

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=L_cQ(g,C), where C(X,Y) is the Weyl-conformal curvature tensor, L_c is some function and X∈ T(M_n). 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) L_c = -1 holds on the manifold.

Keywords:
Curvature Tensor Ricci Tensor Weyl-semisymmetric para-Kenmotsu manifold Einstein manifold

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