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Liouville theorem for heat equation along ancient super Ricci flow via reduced geometry

Differential Geometry 2021-06-03 v2

Abstract

The aim of this article is to provide a Liouville theorem for heat equation along ancient super Ricci flow. We formulate such a Liouville theorem under a growth condition concerning Perelman's reduced distance.

Keywords

Cite

@article{arxiv.2005.04882,
  title  = {Liouville theorem for heat equation along ancient super Ricci flow via reduced geometry},
  author = {Keita Kunikawa and Yohei Sakurai},
  journal= {arXiv preprint arXiv:2005.04882},
  year   = {2021}
}

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23 pages