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arxiv: math/0610903 · v1 · submitted 2006-10-29 · 🧮 math.DG · math.AP

Perelman's proof of the Poincar\'e conjecture: a nonlinear PDE perspective

classification 🧮 math.DG math.AP
keywords conjecturenonlinearperelmanperspectivepoincarproofdifferentialdiscuss
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We discuss some of the key ideas of Perelman's proof of Poincar\'e's conjecture via the Hamilton program of using the Ricci flow, from the perspective of the modern theory of nonlinear partial differential equations.

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