The K\"ahler Ricci flow around complete bounded curvature K\"ahler metrics
Abstract
We produce complete bounded curvature solutions to K\"ahler-Ricci flow with existence time estimates, assuming only that the initial data is a smooth metric uniformly equivalent to another complete bounded curvature 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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