paper

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

arXiv:2403.06427

Abstract

Kröncke has shown that the Fubini-Study metric is an unstable generalized stationary solution of Ricci flow [Krö20]. 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].

14 pages, 3 figures. Comments are welcome!