Geometrization of three manifolds and Perelman’s proof

This is a survey about Thurston’s geometrization conjecture of three manifolds and Perelman’s proof with the Ricci flow. In particular we review the essential contribution of Hamilton as well as some results in topology relevants for the proof.ResumenÉsta es una exposición sobre la conjetura de geometrización de Thurston para variedades tridimensionales, así como de la demostración de Perelman mediante el flujo de Ricci. En particular se revisan la contribución esencial de Hamilton y algunos resultados de topología relevantes para la demostración.

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