Hamilton-Perelman's Proof of the Poincar\'e Conjecture and the Geometrization Conjecture
Differential Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/0612069,
title = {Hamilton-Perelman's Proof of the Poincar\'e Conjecture and the Geometrization Conjecture},
author = {Huai-Dong Cao and Xi-Ping Zhu},
journal= {arXiv preprint arXiv:math/0612069},
year = {2007}
}
Comments
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