A "boundedness implies convergence" principle and its applications to collapsing estimates in K\"ahler geometry
classification
🧮 math.DG
keywords
convergenceprincipleboundednesscollapsingimpliesmetricsahlerahler-ricci
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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 K\"ahler-Ricci flows on torus fibered minimal models to obtain convergence results.
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