https://neckpinch.com/authors/eftekhar-asgharzadeh/New arXiv papers by Eftekhar Asgharzadeh, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2103.05052/arxiv:2103.05052Mon, 08 Mar 2021 00:00:00 GMTEftekhar Asgharzadeh, Morteza Faghfouri — In this paper, we prove that a Sasakian pseudo-metric manifold which admits an η-Ricci soliton is an η-Einstein manifold, and if the potential vector field of the η-Ricci soliton is not a Killing vector field then the manifold is 𝓓-homothetically fixed, and the vector field leaves the structure tensor field invariant. Next, we prove that a K-contact pseudo-metric manifold with a gradient η-Ricci soliton metric is η-Einstein. Moreover, we study contact pseudo-metric manifolds admitting an η-Ricci soliton with a potential vector field point-wise colinear with the Reeb vector field. Finally, we study gradient η-Ricci solitons on (κ, μ)-contact pseudo-metric manifolds.Ricci solitonsEinstein metricsSasakian & contact geometry