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arXiv · 1904.11261

A "boundedness implies convergence" principle and its applications to collapsing estimates in K\"ahler geometry

Wangjian Jian·Yalong Shi
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Abstract

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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Wangjian Jian, Yalong Shi. 2019-04-25. A "boundedness implies convergence" principle and its applications to collapsing estimates in K\"ahler geometry. https://arxiv.org/abs/1904.11261

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