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R. Hamilton and G. Perelman’s proof of the Poincaré conjecture. (Conjecture de Poincaré: la preuve de R. Hamilton et G. Perelman.) (French) Zbl 1129.53045
This paper is a quite complete and self-contained survey of results on the Poincaré conjecture. The author explains fundamental ideas and methods from the Ricci flow theory developed by R. Hamilton and discusses the main results by G. Perelman which prove the Poincaré conjecture.

MSC:
53C44 Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010)
57M40 Characterizations of the Euclidean \(3\)-space and the \(3\)-sphere (MSC2010)
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