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, which is a result similar to a paper by Xu (2017), where he assumes the Type I curvature bound.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 35-51 |
| Number of pages | 17 |
| Journal | Journal fur die Reine und Angewandte Mathematik |
| Volume | 2020 |
| Issue number | 762 |
| DOIs | |
| State | Published - May 1 2020 |
Bibliographical note
Publisher Copyright:© 2020 Walter de Gruyter GmbH, Berlin/Boston 2020.
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