On the structure of Ricci shrinkers

On the structure of Ricci shrinkers

We develop a structure theory for non-collapsed Ricci shrinkers without any curvature condition. As applications, we obtain some curvature estimates of the Ricci shrinkers depending only on the non-collapsing constant.

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Veröffentlicht in:Journal of functional analysis 2021-05, Vol.280 (9), p.108955, Article 108955
Hauptverfasser: Li, Haozhao, Li, Yu, Wang, Bing
Format: Artikel
Sprache:eng
Schlagworte:
Entropy
Gromov–Hausdorff
Ricci flow
Shrinking soliton
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Beschreibung
Zusammenfassung:We develop a structure theory for non-collapsed Ricci shrinkers without any curvature condition. As applications, we obtain some curvature estimates of the Ricci shrinkers depending only on the non-collapsing constant.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2021.108955