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

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Document Type : Original Article

Authors

Department of Mathematics and Astronomy, University of Lucknow, Lucknow, India

Abstract

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.

Keywords

References

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Journal of Finsler Geometry and its Applications

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Available Online from 20 August 2025

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