Ricci Solitons on Compact Three-manifolds

نویسنده

  • THOMAS IVEY
چکیده

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 Hamilton [4]. The proof involves a careful analysis of the ODE for the curvature which is associated to the Ricci flow.

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تاریخ انتشار 2002