Abstract
In this note we show that, under certain curvature positivity conditions (the weak PIC - 2 condition or the nonnegative bisectional curvature condition), a complete and noncompact expanding breather of the Ricci flow is also an expanding gradient Ricci soliton. This is the first no expanding breather theorem in the noncompact category.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 519-529 |
| Number of pages | 11 |
| Journal | Annals of Global Analysis and Geometry |
| Volume | 61 |
| Issue number | 3 |
| DOIs | |
| State | Published - Apr 2022 |
Bibliographical note
Publisher Copyright:© 2021, The Author(s), under exclusive licence to Springer Nature B.V.
Keywords
- Expanding breathers
- Gradient expanding Ricci solitons
- No breather theorem
- Noncompact Ricci flows