2000 character limit reached
Asymptotic behavior of unstable perturbations of the Fubini-Study metric in Ricci flow (2403.06427v1)
Published 11 Mar 2024 in math.DG, cs.NA, math.AP, and math.NA
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].
Sponsor
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.