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arXiv · 2105.08250

Type of finite time singularities of the Ricci flow with bounded scalar curvature

Shota Hamanaka
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Abstract

In this paper, we study the Ricci flow on a closed manifold of dimension $n \ge 4$ and finite time interval $[0,T)~(T < \infty)$ on which the scalar curvature are uniformly bounded. We prove that if such flow of dimension $4 \le n \le 7$ has finite time singularities, then every blow-up sequence of a locally Type I singularity has certain property. Here, locally Type I singularity is what Buzano and Di-Matteo defined.

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Shota Hamanaka. 2021-05-18. Type of finite time singularities of the Ricci flow with bounded scalar curvature. https://arxiv.org/abs/2105.08250

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