eng
Science and Education Publishing
Turkish Journal of Analysis and Number Theory
2333-1232
2017-01-05
5
2
27
30
10.12691/tjant-5-2-1
TJANT2017521
article
Conformal Curvature Tensor on Para-kenmotsu Manifold
S.Sunitha Devi
1
K.L.Sai Prasad
klsprasad@yahoo.com
2
G.V.S.R. Deekshitulu
3
Department of Mathematics, Vignan Institute of Information Technology, Visakhapatnam, Andhra Pradesh, India
Department of Mathematics, Gayatri Vidya Parishad College of Engineering for Women, Visakhapatnam, Andhra Pradesh, India
Department of Mathematics, Jawaharlal Nehru Technological University, Kakinada, Andhra Pradesh, India
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.
http://pubs.sciepub.com/tjant/5/2/1/tjant-5-2-1.pdf
Curvature Tensor
Ricci Tensor
Weyl-semisymmetric para-Kenmotsu manifold
Einstein manifold