Science and Education Publishing
Turkish Journal of Analysis and Number Theory
2333-1232
5
2
2017
1
5
Conformal Curvature Tensor on Para-kenmotsu Manifold
27
30
EN
S.Sunitha
Devi
K.L.Sai
Prasad
Department of Mathematics, Gayatri Vidya Parishad College of Engineering for Women, Visakhapatnam, Andhra Pradesh, India
G.V.S.R.
Deekshitulu
TJANT2017521
10.12691/tjant-5-2-1
2016
8
24
2016
10
31
2017
1
3
The object of this paper is to obtain the characterisation of para-Kenmotsu (briefly P-Kenmotsu) manifold satisfying the conditions R(,X).C-C(,X).R= 0 and R(,X).C-C(,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 -Einstein manifold and the manifold is either conformally flat (or) Lc = -1 holds on the manifold.