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Ara, Anjum, Kishor, Shyam. (1404). Geometric aspects of η-Ricci soliton in Lorentzian β-Kenmotsu manifold. سامانه مدیریت نشریات علمی, (), 132-146. doi: 10.22098/jfga.2025.17375.1159
Anjum Ara; Shyam Kishor. "Geometric aspects of η-Ricci soliton in Lorentzian β-Kenmotsu manifold". سامانه مدیریت نشریات علمی, , , 1404, 132-146. doi: 10.22098/jfga.2025.17375.1159
Ara, Anjum, Kishor, Shyam. (1404). 'Geometric aspects of η-Ricci soliton in Lorentzian β-Kenmotsu manifold', سامانه مدیریت نشریات علمی, (), pp. 132-146. doi: 10.22098/jfga.2025.17375.1159
Ara, Anjum, Kishor, Shyam. Geometric aspects of η-Ricci soliton in Lorentzian β-Kenmotsu manifold. سامانه مدیریت نشریات علمی, 1404; (): 132-146. doi: 10.22098/jfga.2025.17375.1159

Geometric aspects of η-Ricci soliton in Lorentzian β-Kenmotsu manifold

Journal of Finsler Geometry and its Applications
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 29 مرداد 1404    اصل مقاله (287.97 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2025.17375.1159
نویسندگان
Anjum Ara* ؛ Shyam Kishor
Department of Mathematics and Astronomy, University of Lucknow, Lucknow, India
چکیده
The object of the paper is to study η-Ricci solitons on Lorentzian β-Kenmotsu manifolds, subject to specific curvature conditions. We recall some basic knowledge on Lorentzian β-Kenmotsu manifolds. Then, we deal with η-Ricci solitons on Lorentzian β-Kenmotsu manifolds. Next, we study the η-Ricci solitons in ϕ-projectively semi symmetric Lorentzian β-Kenmotsu manifolds. Afterward, we investigate η-Ricci solitons in Lorentzian β-Kenmotsu manifolds admitting Codazzi type of Ricci tensor and cyclic parallel Ricci tensor. Additionally, we consider η-Ricci solitons on recurrent Lorentzian β-Kenmotsu manifolds. A concrete example has demonstrated the existence of η-Ricci solitons in a Lorentzian β-Kenmotsu manifold.
کلیدواژه‌ها
η-Ricci solitons؛ Einstein manifold؛ Lorentzian β-Kenmotsu manifold؛ Projective curvature tensor
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