This investigation reveals invariant Yamabe soliton constants in deformed contact manifolds, suggesting new insights in metric geometry.
In this paper we investigate Yamabe solitons on deformed Sasakian manifolds. We proved that the Yamabe soliton constant is invariant under new deformation of contact manifolds that deforms metric and structure tensor simultaneously. Further we show that the scalar curvature is equal to the soliton constant and potential vector field of Yamabe soliton reduces to an affine vector field.
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Prabhakar et al. (2025) studied this question.
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