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arXiv:math/0610903math.DG

Perelman's proof of the Poincaré conjecture: a nonlinear PDE perspective

Terence Tao

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Abstract

We discuss some of the key ideas of Perelman's proof of Poincaré's conjecture via the Hamilton program of using the Ricci flow, from the perspective of the modern theory of nonlinear partial differential equations.

arXiv comments
42 pages, unpublished
Journal reference
DOI
Subjects
math.DGDifferential Geometry math.APAnalysis of PDEs

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