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Geometry of almost contact metrics as a *-conformal Ricci-Yamabe solitons and related results
(World Scientific Publ Co Pte Ltd, 2023) Dey, Santu; Roy, Soumendu; Karaca, Fatma
The goal of this paper is to study certain types of metric such as *-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 *-conformal RYS on Kenmotsu manifold. Next, we developed the nature of the vector field when the manifold satisfies *-conformal RYS. Also, we have adorned some applications of torse-forming vector field in terms of *-conformal RYS on Kenmotsu manifold. We have also studied infinitesimal CL-transformation and Schouten-van Kampen connection on Kenmotsu manifold, whose metric is *-conformal RYS. We present an example of *-conformal RYS on three-dimensional Kenmotsu manifold, and verify some of our findings.