Ricci-Soliton on Cosymplectic Manifolds Under Generalized D-Conformal Deformations

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Abstract In this paper, we investigate the behavior of Ricci solitons under Generalized $\mathcal{D}$-conformal deformation on cosymplectic manifolds. We derive expressions for the deformation tensor and explore the changes that occur to the soliton vector field and the soliton constant under deformation. Our results reveal interesting insights into the behavior of Ricci solitons on almost contact metric manifolds and highlight the differences between the various classes of manifolds.

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