凯勒-里奇流膨胀极限的几何正则性

IF 2.4 1区数学 Q1 MATHEMATICS

Geometric and Functional Analysis 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

Geometric and Functional Analysis 数学-数学

CiteScore

3.70

自引率

4.50%

发文量

审稿时长

6-12 weeks

期刊介绍： Geometric And Functional Analysis (GAFA) publishes original research papers of the highest quality on a broad range of mathematical topics related to geometry and analysis. GAFA scored in Scopus as best journal in "Geometry and Topology" since 2014 and as best journal in "Analysis" since 2016. Publishes major results on topics in geometry and analysis. Features papers which make connections between relevant fields and their applications to other areas.