2019, Vol. 4, Issue 5, Part B
η- ricci solitons defined with W8− curvature tensor and cyclic ricci tensor on para-kenmotsu manifolds
Author(s): LF Uwimbabazi Ruganzu, SK Moindi, GP Pokhariyal and J Katende
Abstract: In this Paper
η- Ricci solitons are considered on Para- Kenmotsu manifolds satisfying (
ξ,.)
S.W8 = 0 and (
ξ,.)
W8.S = 0
. The results of Blaga
[1] for
W2 have motivated us to use the same conditions on
W8. We have proved that the Para- Kenmotsu manifolds satisfying (
ξ,.)
W8.S = 0
. Are quasi- Einstein Manifolds and those satisfying (
ξ,.)
S.W8 = 0
, are Einstein Manifolds. At the end of the paper it has been proven that the para- Kenmotsu manifolds with cyclic Ricci tensor and
η− Ricci soliton structure are quasi-Einstein manifolds.
Pages: 80-84 | Views: 934 | Downloads: 33Download Full Article: Click HereHow to cite this article:
LF Uwimbabazi Ruganzu, SK Moindi, GP Pokhariyal, J Katende. η- ricci solitons defined with W<sub>8</sub>− curvature tensor and cyclic ricci tensor on para-kenmotsu manifolds. Int J Stat Appl Math 2019;4(5):80-84.
