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arXiv · 2403.06427

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

David Garfinkle·James Isenberg·Dan Knopf·Haotian Wu
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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].

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David Garfinkle, James Isenberg, Dan Knopf, Haotian Wu. 2024-03-11. Asymptotic behavior of unstable perturbations of the Fubini-Study metric in Ricci flow. https://arxiv.org/abs/2403.06427

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