Published Paper
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Inserted: 11 aug 2013
Last Updated: 9 nov 2026
Journal: Analysis & PDE
Volume: 8
Pages: 365-371
Year: 2015
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.
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