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• W2314138538 abstract "The aim of this paper is to prove some classification results for generic shrinking Ricci solitons. In particular, we show that every three–dimensional generic shrinking Ricci soliton is given by quotients of either $mathbb {S}^3$, $mathbb {R}times mathbb {S}^2$ or $mathbb {R}^3$ under some very weak conditions on the vector field $X$ generating the soliton structure. In doing so we introduce analytical tools that could be useful in other settings; for instance we prove that the Omori-Yau maximum principle holds for the $X$-Laplacian on every generic Ricci soliton without any assumption on $X$." @default.
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• W2314138538 date "2016-03-03" @default.
• W2314138538 modified "2023-10-18" @default.
• W2314138538 title "Analytic and geometric properties of generic Ricci solitons" @default.
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• W2314138538 doi "https://doi.org/10.1090/tran/6864" @default.
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