English

On the H\"older estimate of K\"ahler-Ricci flow

Differential Geometry 2021-05-05 v1

Abstract

In this work, we study the H\"older regularity of the K\"ahler- Ricci flow on compact K\"ahler manifolds with semi-ample canonical line bundle. By adapting the method in the work of Hein-Tosatti on collapsing Calabi-Yau metrics, we obtain a uniform spatial H\"older estimate of the K\"ahler-Ricci flow for all time.

Keywords

Cite

@article{arxiv.2105.01602,
  title  = {On the H\"older estimate of K\"ahler-Ricci flow},
  author = {Jianchun Chu and Man-Chun Lee},
  journal= {arXiv preprint arXiv:2105.01602},
  year   = {2021}
}

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15 pages