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Geometrization of 3-manifolds via the Ricci flow. (English) Zbl 1161.53350
Summary: The classification of three manifolds is a major quest in topology. The author discusses the recent work of Perelman, and the work of Thurston and Hamilton on which it builds, towards classification.

MSC:
53C44 Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010)
53C20 Global Riemannian geometry, including pinching
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
57M50 General geometric structures on low-dimensional manifolds
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