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arXiv · 1909.01318

*-Conformal η-Ricci Soliton on Sasakian manifold

Soumendu Roy·Santu Dey·Arindam Bhattacharyya·Shyamal Kumar Hui
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Abstract

In this paper we study *-Conformal η-Ricci soliton on Sasakian manifolds. Here, we discuss some curvature properties on Sasakian manifold admitting *-Conformal η-Ricci soliton. We obtain some significant results on *-Conformal η-Ricci soliton in Sasakian manifolds satisfying R(ξ,X).S = 0, S(ξ,X).R = 0, {\overline}P(ξ,X).S = 0, where {\overline}P is Pseudo-projective curvature tensor.The conditions for *-Conformal η-Ricci soliton on Φ-conharmonically flat and Φ-projectively flat Sasakian manifolds have been obtained in this article. Lastly we give an example of 5-dimensional Sasakian manifolds satisfying *-Conformal η-Ricci soliton.

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Soumendu Roy, Santu Dey, Arindam Bhattacharyya, Shyamal Kumar Hui. 2019-09-03. *-Conformal η-Ricci Soliton on Sasakian manifold. https://doi.org/10.1142/s1793557122500358

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