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].

翻译：Kr\"oncke已证明Fubini-Study度量是Ricci流的不稳定广义稳态解[Kr\"o20]。本文通过数值模拟表明，起始于Fubini-Study度量不稳定扰动的Ricci流解会发展出局部奇点，其模型为[FIK03]中发现的收缩孤子。