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Analytic and geometric properties of generic Ricci solitons

Analytic and geometric properties of generic Ricci solitons

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 …