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η-Ricci solitons on contact pseudo-metric manifolds | ||
| Journal of Finsler Geometry and its Applications | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 18 اردیبهشت 1405 اصل مقاله (315.03 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2026.19252.1201 | ||
| نویسندگان | ||
| Eftekhar Asgharzadeh؛ Morteza Faghfouri* | ||
| Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Ricci soliton؛ η-Ricci soliton؛ (κ, μ)-contact pseudo-metric manifolds؛ gradient η-Ricci solitons | ||
| مراجع | ||
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