%0 Generic %1 cao2006hamiltonperelmans %A Cao, Huai-Dong %A Zhu, Xi-Ping %D 2006 %K conjecture hamilton perelmans poincar proof %T Hamilton-Perelman's Proof of the Poincaré Conjecture and the Geometrization Conjecture %U http://arxiv.org/abs/math/0612069 %X In 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.

@misc{cao2006hamiltonperelmans, abstract = {In 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 Poincar\'e conjecture due to Hamilton and Perelman.}, added-at = {2013-12-23T04:55:10.000+0100}, author = {Cao, Huai-Dong and Zhu, Xi-Ping}, biburl = {https://www.bibsonomy.org/bibtex/2b46b77ed1d29bf19aef8e9eefd471ee4/aeu_research}, description = {Hamilton-Perelman's Proof of the Poincar\'e Conjecture and the Geometrization Conjecture}, interhash = {8ff23447a60fc8c5f04b5da1a275720e}, intrahash = {b46b77ed1d29bf19aef8e9eefd471ee4}, keywords = {conjecture hamilton perelmans poincar proof}, note = {cite arxiv:math/0612069Comment: This 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}, timestamp = {2013-12-23T04:55:10.000+0100}, title = {Hamilton-Perelman's Proof of the Poincar\'e Conjecture and the Geometrization Conjecture}, url = {http://arxiv.org/abs/math/0612069}, year = 2006 }