Published Paper
Inserted: 8 nov 2016
Last Updated: 17 oct 2023
Journal: Anal. PDE
Volume: 8
Number: 2
Pages: 365-371
Year: 2015
Doi: 10.2140/apde.2015.8.365
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.
Tags:
FIRB2012-DGGFT