2019, Vol. 4, Issue 5, Part A
η- Ricci solitons on lorentzian para- sasakian manifolds defined with W2−curvaturetensor
Author(s): LF Uwimbabazi Ruganzu, SK Moindi and GP Pokhariyal
Abstract: In the present paper
η- Ricci solitons on Lorentzian Para- Sasakian manifolds satisfying (
ξ,.)
s.W2 = 0 and (
ξ,.)
W2.
S = 0 are treated. The results obtained on
η- Ricci solitons on para- Kenmotsu manifolds have motivated us to investigate
η- Ricci solitons on Lorentzian Para-Sasakian Manifolds satisfying the same conditions and quasi-similar results have been obtained. In fact, we have proved that Lorentzian Para- Sasakian manifolds satisfying (
ξ,.)
s.W2 = 0 and having
η− Ricci soliton structure are Einstein or quasi-Einstein manifolds according to the value
µ and
λ. The same results have been proved on Manifolds satisfying (
ξ,.)
W2.
S = 0
.Pages: 49-54 | Views: 1022 | Downloads: 39Download Full Article: Click Here
How to cite this article:
LF Uwimbabazi Ruganzu, SK Moindi, GP Pokhariyal. η- Ricci solitons on lorentzian para- sasakian manifolds defined with W<sub>2</sub>−curvaturetensor. Int J Stat Appl Math 2019;4(5):49-54.
