Journal of Differential Geometry
- J. Differential Geom.
- Volume 116, Number 1 (2020), 1-123.
Space of Ricci flows (II)—Part B: Weak compactness of the flows
Abstract
Based on the compactness of the moduli of non-collapsed Calabi–Yau spaces with mild singularities, we set up a structure theory for polarized Kähler Ricci flows with proper geometric bounds. Our theory is a generalization of the structure theory of non-collapsed Kähler Einstein manifolds. As applications, we show the convergence of the Kähler Ricci flow in an appropriate topology and prove the partial-$C^0$-conjecture.
Note
Xiuxiong Chen was supported by NSF grant DMS-1211652.
Note
Bing Wang was supported by NSF grant DMS-1312836.
Article information
Source
J. Differential Geom., Volume 116, Number 1 (2020), 1-123.
Dates
Received: 31 October 2016
First available in Project Euclid: 5 September 2020
Permanent link to this document
https://projecteuclid.org/euclid.jdg/1599271253
Digital Object Identifier
doi:10.4310/jdg/1599271253
Mathematical Reviews number (MathSciNet)
MR4146357
Zentralblatt MATH identifier
07246681
Citation
Chen, Xiuxiong; Wang, Bing. Space of Ricci flows (II)—Part B: Weak compactness of the flows. J. Differential Geom. 116 (2020), no. 1, 1--123. doi:10.4310/jdg/1599271253. https://projecteuclid.org/euclid.jdg/1599271253
