A note on gradient Ricci soliton warped metrics

Autor:	Gomes, José N. V., Marrocos, Marcus A. M., Ribeiro, Adrian V. C.
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry 53C21 53C25 53C15
Zdroj:	Mathematische Nachrichten 294 (2021) 1879-1888
Druh dokumentu:	Working Paper
DOI:	10.1002/mana.202000271
Popis:	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 Ricci-Hessian type manifolds. We study this latter class of manifolds as the most appropriate setting to prove our results. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.09870 Zobrazit plný text záznamu View this record from Arxiv