Geometrization of three manifolds and perelman's proof

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Abstract. 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. © 2008 Real Academia de Ciencias, Espãna.
Original languageEnglish
Pages (from-to)101-125
JournalRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Issue number1
Publication statusPublished - 1 Dec 2008


  • 57M50
  • Geometrization
  • Hamilton-Ricci flow mathematics subject classifications: 53C44
  • Three manifolds


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