On the equivalence between noncollapsing and bounded entropy for ancient solutions to the Ricci flow
On the equivalence between noncollapsing and bounded entropy for ancient solutions to the Ricci flow
Abstract As a continuation of a previous paper, we prove Perelman’s assertion, that is, for ancient solutions to the Ricci flow with bounded nonnegative curvature operator, uniformly bounded entropy is equivalent to κ-noncollapsing on all scales. We also establish an equality between the asymptotic entropy and the asymptotic reduced volume, …