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The Kähler Ricci flow around complete bounded curvature Kähler metrics

2019/04/03 by Chau, Albert, Lee, Man-Chun
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1904.02233

Abstract

We produce complete bounded curvature solutions to Kähler-Ricci flow with existence time estimates, assuming only that the initial data is a smooth \K metric uniformly equivalent to another complete bounded curvature \K metric. We obtain related flow results for non-smooth as well as degenerate initial conditions. We also obtain a stability result for complex space forms under the flow.

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