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η-Ricci-Yamabe solitons in the framework of LP-Kenmotsu manifolds
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This paper examines the geometric characteristics of ?-Ricci-Yamabe solitons within the frame-work of LP-Kenmotsu manifolds. A key focus is on determining conditions under which these solitons satisfy the curvature relation R?S = 0. Additionally, we explore their behavior in quasi-conformally flat settings. Further, we establish results for solitons on manifolds exhibiting quasi-conformal curvature tensor, ?-quasi-conformal semi-symmetry and ?-Ricci symmetry, alongside conditions involving the Codazzi-type Ricci tensor and the Cyclic parallel Ricci tensor. To justify our findings, we construct an explicit example demonstrating the existence of such solitons in LP-Kenmotsu manifolds.
Title: η-Ricci-Yamabe solitons in the framework of LP-Kenmotsu manifolds
Description:
This paper examines the geometric characteristics of ?-Ricci-Yamabe solitons within the frame-work of LP-Kenmotsu manifolds.
A key focus is on determining conditions under which these solitons satisfy the curvature relation R?S = 0.
Additionally, we explore their behavior in quasi-conformally flat settings.
Further, we establish results for solitons on manifolds exhibiting quasi-conformal curvature tensor, ?-quasi-conformal semi-symmetry and ?-Ricci symmetry, alongside conditions involving the Codazzi-type Ricci tensor and the Cyclic parallel Ricci tensor.
To justify our findings, we construct an explicit example demonstrating the existence of such solitons in LP-Kenmotsu manifolds.
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