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- Title
Tangent flows of Kähler metric flows.
- Authors
Hallgren, Max; Jian, Wangjian
- Abstract
We improve the description of 픽-limits of noncollapsed Ricci flows in the Kähler setting. In particular, the singular strata S k of such metric flows satisfy S 2 j = S 2 j + 1 . We also prove an analogous result for quantitative strata and show that any tangent flow admits a one-parameter action by isometries, which is locally free on the cone link in the static case. The main results are established using parabolic regularizations of conjugate heat kernel potential functions based at almost-selfsimilar points, which may be of independent interest.
- Subjects
KERNEL functions; POTENTIAL functions; RICCI flow
- Publication
Journal für die Reine und Angewandte Mathematik, 2023, Vol 2023, Issue 805, p143
- ISSN
0075-4102
- Publication type
Article
- DOI
10.1515/crelle-2023-0071