A compactness property for solutions of the Ricci flow on orbifolds (Q2772971)

The paper gives orbifold versions of two results proved by Hamilton for the Ricci flow: the compactness property of solutions and, respectively, an injectivity radius estimate for the Ricci flow. One should note that the Ricci flow is considered here on orbifolds with at most isolated singularities. As a byproduct of the two main results, the author obtains a compactness property of Riemannian orbifolds, and their equivalent of the injectivity radius estimate of Cheeger, Gromov and Taylor for Riemannian manifolds.