A Complete Proof of the Poincaré and Geometrization Conjectures - application of the Hamilton-Perelman theory of the Ricci flow
A Complete Proof of the Poincaré and Geometrization Conjectures - application of the Hamilton-Perelman theory of the Ricci flow
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DOI：
10.4310/ajm.2006.v10.n2.a2
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发表时间：
2006-06
影响因子：
0.6
通讯作者：
H. Cao;Xiping Zhu
中科院分区：
文献类型：
--
作者：
H. Cao;Xiping Zhu
本文给出了Poincare定理和几何化定理的一个完整证明。这项工作是在过去30年中许多几何分析家的工作积累的基础上完成的。这个证明应该被认为是Hamilton-Perelman Ricci流理论的最高成就。
In this paper, we give a complete proof of the Poincare and the geometrization conjectures. This work depends on the accumulative works of many geometric analysts in the past thirty years. This proof should be considered as the crowning achievement of the Hamilton-Perelman theory of Ricci flow.