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Ricci solitons on compact three-manifolds. (English) Zbl 0788.53034
In this short article we show that there are no compact three-dimensional Ricci solitons other than spaces of constant curvature. This generalizes a result obtained for surfaces by R. S. Hamilton [Contemp. Math. 71, 237-262 (1988; Zbl 0663.53031)]. The proof involves a careful analysis of the ODE for the curvature which is associated to the Ricci flow.
Reviewer: Th.Ivey (La Jolla)

53C20 Global Riemannian geometry, including pinching
Full Text: DOI
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