Volume 10, Number 2 (June 2006)
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
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.
Ricci flow, Ricci flow with surgery, Hamilton-Perelman theory, Poincaré Conjecture, geometrization of 3-manifolds
AMS Subject Classifications: 53C21, 53C44