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arxiv: 1712.06055 · v1 · pith:6WWV6OYOnew · submitted 2017-12-17 · 🧮 math.DG

Ricci solitons

classification 🧮 math.DG
keywords solitonsriccimanifoldsahlerahler-ricciarisingberardbergery
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English translation of "Solitony Ricciego" (Wiadomo\'sci Matematyczne 48, 2012, no. 1, pp. 1-32). Despite the general-sounding title, the text covers just a few narrow topics: Perelman's proof of the fact that compact Ricci solitons are of the gradient type, and a detailed unified description of Page's and Berard Bergery's Einstein manifolds on the one hand, and Koiso's and Cao's K\"ahler-Ricci solitons on the other, as the Ricci solitons arising via conformal changes from certain special K\"ahler manifolds.

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