A "boundedness implies convergence" principle and its applications to collapsing estimates in Kähler geometry
arXiv:1904.11261
Abstract
We establish a general "boundedness implies convergence" principle for a family of evolving Riemannian metrics. We then apply this principle to collapsing Calabi-Yau metrics and normalized Kähler-Ricci flows on torus fibered minimal models to obtain convergence results.
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References in corpus (5)
- The Kähler-Ricci flow on surfaces of positive Kodaira dimension
- Collapsing behavior of Ricci-flat Kahler metrics and long time solutions of the Kahler-Ricci flow
- On collapsing Calabi-Yau fibrations
- Infinite-time singularity type of the Kähler-Ricci flow
- A mean value formula and a Liouville theorem for the complex Monge-Ampère equation