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A note on gradient Ricci soliton warped metrics

A note on gradient Ricci soliton warped metrics

Abstract In this note, we prove triviality and nonexistence results for gradient Ricci soliton warped metrics. The proofs stem from the construction of gradient Ricci solitons that are realized as warped products, from which we know that the base spaces of these products are Ricciā€“Hessian type manifolds. We study this ā€¦