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Asymptotic behavior of unstable perturbations of the Fubini-Study metric in Ricci flow

Published 11 Mar 2024 in math.DG, cs.NA, math.AP, and math.NA | (2403.06427v1)

Abstract: Kr\"oncke has shown that the Fubini-Study metric is an unstable generalized stationary solution of Ricci flow [Kr\"o20]. In this paper, we carry out numerical simulations which indicate that Ricci flow solutions originating at unstable perturbations of the Fubini-Study metric develop local singularities modeled by the blowdown soliton discovered in [FIK03].

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