Hamilton-Perelman's Proof of the Poincaré Conjecture and the Geometrization Conjecture

Details Hamilton-Perelman's Proof of the Poincaré Conjecture and the Geometrization Conjecture Hamilton-Perelman's Proof of the Poincaré Conjecture and the Geometrization Conjecture

2006-12-03

arxiv.org/abs/math/0612069v1

Mathematics

Differential Geometry

This is a revised version of the article by the same authors that originally appeared in Asian J. Math., {\bf 10}({\bf 2}) (20

Scientific paper

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.

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