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International Journal of Geometric Methods in Modern Physics, vol.20, no.9, 2023 (SCI-Expanded)
The goal of this paper is to study certain types of metric such as a ∗-conformal Ricci-Yamabe soliton (RYS), whose potential vector field is torse-forming on Kenmotsu manifold. Here, we establish the conditions for solitons to be expanding, shrinking or steady and find the scalar curvature when the manifold admits a ∗-conformal RYS on Kenmotsu manifold. Next, we developed the nature of the vector field when the manifold satisfies a ∗-conformal RYS. Also, we have adorned some applications of torse-forming vector field in terms of a ∗-conformal RYS on Kenmotsu manifold. We have also studied infinitesimal CL-transformation and Schouten-van Kampen connection on Kenmotsu manifold, whose metric is a ∗-conformal RYS. We present an example of a ∗-conformal RYS on three-dimensional Kenmotsu manifold, and verify some of our findings.