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.
Citation
Giovanni Catino. Carlo Mantegazza. Lorenzo Mazzieri. "Locally conformally flat ancient Ricci flows." Anal. PDE 8 (2) 365 - 371, 2015. https://doi.org/10.2140/apde.2015.8.365
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