凯勒-里奇流膨胀极限的几何正则性

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-10-16 DOI:10.1007/s00039-024-00694-7

Max Hallgren, Wangjian Jian, Jian Song, Gang Tian

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引用次数: 0

摘要

我们建立了基于任意里奇顶点序列的 Kähler-Ricci 流的第一类爆炸极限的几何规律性。因此，极限流在 Gromov-Hausdorff 距离和 Gromov-W1 距离上都是连续的。特别是，每个时间片的奇异集及其切向锥都是闭合的，且标度不小于 4。

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Geometric Regularity of Blow-up Limits of the Kähler-Ricci Flow

We establish geometric regularity for Type I blow-up limits of the Kähler-Ricci flow based at any sequence of Ricci vertices. As a consequence, the limiting flow is continuous in time in both Gromov-Hausdorff and Gromov-W₁ distances. In particular, the singular sets of each time slice and its tangent cones are closed and of codimension no less than 4.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464