Injectivity radius bound of Ricci flow with positive Ricci curvature and applications

Abstract

We study the injectivity radius bound for 3-d Ricci flow with bounded curvature. As applications, we show the long time existence of the Ricci flow with positive Ricci curvature and with curvature decay condition at infinity. We partially settle a question of Chow-Lu-Ni [Hamilton’s Ricci Flow, p.302].

Keywords

Injectivity radius bound / Ricci flow / positive Ricci curvature / global solution

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