Asymptotic behavior of unstable perturbations of the Fubini-Study metric in Ricci flow
<|reference_start|>Asymptotic behavior of unstable perturbations of the Fubini-Study metric in Ricci flow: 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].<|reference_end|>
@article{garfinkle2024asymptotic,
    title={Asymptotic behavior of unstable perturbations of the Fubini-Study metric
  in Ricci flow},
    author={David Garfinkle, James Isenberg, Dan Knopf, Haotian Wu},
    journal={arXiv preprint arXiv:2403.06427},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.06427},
    primaryClass={math.DG cs.NA math.AP math.NA}
}