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- W 1 distances. In particular, the singular sets of each time slice and its tang...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Geometric and functional analysis 2024-12, Vol.34 (6), p.1899-1972
Hauptverfasser: Hallgren, Max, Jian, Wangjian, Song, Jian, Tian, Gang
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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- W 1 distances. In particular, the singular sets of each time slice and its tangent cones are closed and of codimension no less than 4.
ISSN:1016-443X
1420-8970
DOI:10.1007/s00039-024-00694-7