Open Access
Research Article
∗-η-Ricci Soliton within the Framework of Sasakian Manifold
*Santu DeyCorresponding authorsantu.mathju@gmail.comDepartment of Mathematics, Bidhan Chandra College, Asansol - 4, -Kolkata, West Bengal, 713303, IndiaView full profile → , Soumendu Roysoumendu1103mtma@gmail.comDepartment of Mathematics, Jadavpur University- E-MAIL:Kolkata, 700032, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 08 Jun 2019
- Accepted:
- 03 Jul 2020
- Published Online:
- 02 Jul 2020
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- 1726037X.2020.1856339
- Pages:
- 163–181
Abstract
In this paper we study ∗-η-Ricci soliton on Sasakian manifolds. Here, we have discussed some curvature properties on Sasakian manifold admitting ∗-η-Ricci soliton. We have obtained some significant results on ∗-η-Ricci soliton in Sasakian manifolds satisfying R(ξ, X) · S = 0, S(ξ, X) · R = 0, P̄ (ξ, X) · S = 0, where P̄ is Pseudo-projective curvature tensor.The conditions for ∗-η-Ricci soliton on ϕ-conharmonically flat and ϕ-projectively flat Sasakian manifolds have been obtained in this article. Lastly, we have given an example of 5-dimensional Sasakian manifolds satisfying ∗-η-Ricci soliton.
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