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

Abstract

In this paper, we study the injectivity radius bound for 3-d Ricci flow. As applications we show the long time existence of the Ricci flow with positive Ricci curvature. We also partially settle a question in page 302 of the book of Chow-Lu-Ni (2006).

6 pages