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arXiv · 1904.02233

The Kähler Ricci flow around complete bounded curvature Kähler metrics

Albert Chau·Man-Chun Lee
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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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Albert Chau, Man-Chun Lee. 2019-04-07. The Kähler Ricci flow around complete bounded curvature Kähler metrics. https://arxiv.org/abs/1904.02233

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