A note on gradient Ricci soliton warped metrics
نویسندگان
چکیده
In this note, we prove triviality and nonexistence results for gradient Ricci soliton warped metrics. The proofs stem from the construction of solitons that are realized as products, which know base spaces these products Ricci-Hessian type manifolds. We study latter class manifolds most appropriate setting to our results.
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2021
ISSN: ['1522-2616', '0025-584X']
DOI: https://doi.org/10.1002/mana.202000271