Hamilton-Perelman's Proof of the Poincaré Conjecture and the Geometrization Conjecture

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dc.creatorCao, Huai-Dong
dc.creatorZhu, Xi-Ping
dc.date2006-12-03
dc.date.accessioned2026-07-07T07:34:37Z
dc.date.available2026-07-07T07:34:37Z
dc.descriptionIn this paper, we provide an essentially self-contained and detailed account of the fundamental works of Hamilton and the recent breakthrough of Perelman on the Ricci flow and their application to the geometrization of three-manifolds. In particular, we give a detailed exposition of a complete proof of the Poincaré conjecture due to Hamilton and Perelman.
dc.descriptionThis is a revised version of the article by the same authors that originally appeared in Asian J. Math., {\bf 10}({\bf 2}) (2006), 165--492
dc.identifierhttps://arxiv.org/abs/math/0612069
dc.identifierhttp://arxiv.org/abs/math/0612069
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119824
dc.subjectDifferential Geometry
dc.subject53C21, 53C44
dc.titleHamilton-Perelman's Proof of the Poincaré Conjecture and the Geometrization Conjecture
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