Codice | QDD202 |
Titolo | Locally Conformally Flat Ancient Ricci Flows |
Data | 2015-03-26 |
Autore/i | Catino, G.; Mantegazza, C.; Mazzieri, L. |
Link | Download full text | Pubblicato | Analysis & PDE |
Abstract | We show that any locally conformally flat ancient solution to the Ricci flow must be rotationally symmetric. As a by-product, we prove that any locally conformally flat Ricci soliton is a gradient soliton in the shrinking and steady cases as well as in the expanding case, provided the soliton has nonnegative curvature. |
|