https://neckpinch.com/authors/sumanjit-sarkar/New arXiv papers by Sumanjit Sarkar, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2109.05448/arxiv:2109.05448Sun, 12 Sep 2021 00:00:00 GMTSumanjit Sarkar, Santu Dey, Arindam Bhattacharyya — In this paper, we initiate the study of conformal η-Ricci soliton and almost conformal η-Ricci soliton within the framework of para-Sasakian manifold. We prove that if para-Sasakian metric admits conformal η-Ricci soliton, then the manifold is η-Einstein and either the soliton vector field V is Killing or it leaves φ invariant. Here, we have shown the characteristics of the soliton vector field V and scalar curvature when the manifold admitting conformal η-Ricci soliton and vector field is pointwise collinear with the characteristic vector field ξ. Next, we show that a para-Sasakian metric endowed an almost conformal η-Ricci soliton is η-Einstein metric if the soliton vector field V is an infnitesimal contact transformation. We have also displayed that the manifold is Einstein if it represents a gradient almost conformal η-Ricci soliton. We have developed an example to display the alive of conformal η-Ricci soliton on 3-dimensional para-Sasakian manifold.Ricci solitonsEinstein metricsAlmost & η-Ricci solitons3-manifoldsScalar curvatureSasakian & contact geometry