TitoloLocally Conformally Flat Ancient Ricci Flows
Autore/iCatino, G.; Mantegazza, C.; Mazzieri, L.
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PubblicatoAnalysis & PDE
AbstractWe 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.