English

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

Differential Geometry 2019-04-26 v1

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.

Keywords

Cite

@article{arxiv.1904.11261,
  title  = {A "boundedness implies convergence" principle and its applications to collapsing estimates in K\"ahler geometry},
  author = {Wangjian Jian and Yalong Shi},
  journal= {arXiv preprint arXiv:1904.11261},
  year   = {2019}
}

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