η-Ricci solitons on contact pseudo-metric manifolds

Articles in Press

Document Type : Original Article

Authors

Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

Abstract

In this paper, we investigate the geometry of contact pseudo-metric manifolds admitting an η-Ricci soliton. We establish that a Sasakian pseudo-metric manifold admitting an η-Ricci soliton is necessarily an η-Einstein manifold. Furthermore, if the potential vector field of the soliton is not Killing, then the manifold is D-homothetically fixed, and the vector field preserves the structure tensor field.
We also prove that a K-contact pseudo-metric manifold endowed with a gradient η-Ricci soliton metric is η-Einstein. In addition, we examine contact pseudo-metric manifolds admitting an η-Ricci soliton whose potential vector field is pointwise colinear with the Reeb vector field. Finally, we analyze gradient η-Ricci solitons on (κ, μ)-contact pseudo-metric manifolds, providing new insights into their structure and curvature properties.

Keywords

References

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Journal of Finsler Geometry and its Applications

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Available Online from 08 May 2026

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