Simple proofs of some results of Perelman on Ricci flow

نویسنده

  • Shu-Yu Hsu
چکیده

We give a simple proof for the ε-closeness of any region of large curvature of solution of three dimensional Ricci flow to a subset of an ancient κ-solution which was originally obtained by G. Perelman in his famous paper [14] on Ricci flow. We also give a detail proof of a result of [14] on the backward curvature estimates for the solutions of Ricci flow on closed three dimensional manifold when the volume of some ball at some fixed time is bounded below.

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تاریخ انتشار 2009