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- W2952281807 abstract "We first give a precise statement on the short time existence of the Calabi flow and prove a stability result: any metric near a constant scalar curvature metric will flow to this cscK metric exponentially fast. Secondly, we prove that a compactness theorem in space of the kahler metrics given unifrom Ricci bound and potential bound. As an application, we prove the Calabi flow can be extended once Ricci curvature stays uniformly bounded. Lastly, we prove a removing-sigularity result about a weak constant scalar curveture metric in a punctured ball. One of the main difficulties is that the metric is not assumed to be smooth outside of the singular point." @default.
- W2952281807 created "2019-06-27" @default.
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- W2952281807 date "2006-03-21" @default.
- W2952281807 modified "2023-09-27" @default.
- W2952281807 title "On the Calabi flow" @default.
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