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世界七大难题之一被中国数学家攻克
I just found exciting news that two Chinese mathematicians, Huai-Dong Cao and Xi-Ping Zhu, claimed that they completed the proof of Poincaré Conjecture and Thuston’s Geometrization Conjecture. If you didn’t know what are these two conjectures and how important they are, please click here and here, or here.Their 333-page complete proof will appear in Asian Journal of Mathematics, Volume 10, Number 2 (June 2006). The full article hasn’t been available online yet. However, one can read the title and abstract here, or see below.
A Complete Proof of the Poincaré and Geometrization Conjectures - application of the Hamilton-Perelman theory of the Ricci flow
by Huai-Dong Cao and Xi-Ping Zhu
Department of Mathematics, Lehigh University, Bethlehem, PA, USA, huc2@lehigh.edu.
Department of Mathematics, Zhongshan University, Guangzhou, China. stszxp@zsu.edu.cn.
PAGES: p.165-498
ABSTRACT:
In this paper, we give a complete proof of the Poincaré 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.
Nevertheless, I think, at this moment, we still need to wait a bit longer for the whole mathematical society to verify this proof. |
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发表于 2006-6-11 23:23:52