On rigidity of gradient conformal Ricci solitons
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Abstract
A soliton is a self similar solution of a non-linear PDE. Here we are associated with self similar solutions of the conformal Ricci flow which is a heat type pseudo parabolic partial differential equation in the perspective of Riemannian manifolds. The goal of the present article is to find some rigidity results on gradient conformal Ricci solitons. Some characterizations of conformal gradient Ricci solitons have been provided in terms of scalar curvature satisfying the Poisson equation.
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References
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