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

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arxiv 2403.06427 v1 pith:SLJMVQO5 submitted 2024-03-11 math.DG cs.NAmath.APmath.NA

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

David Garfinkle , James Isenberg , Dan Knopf , Haotian Wu This is my paper
classification math.DG cs.NAmath.APmath.NA
keywords flowfubini-studymetricricciunstableperturbationsasymptoticbehavior
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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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