English

Hamilton type entropy formula along the Ricci flow on surfaces with boundary

Differential Geometry 2021-07-08 v2

Abstract

In this article, we establish a monotonicity formula of Hamilton type entropy along Ricci flow on compact surfaces with boundary. We also study the relation between our entropy functional and the W\mathcal{W}-functional of Perelman type.

Keywords

Cite

@article{arxiv.2010.09179,
  title  = {Hamilton type entropy formula along the Ricci flow on surfaces with boundary},
  author = {Keita Kunikawa and Yohei Sakurai},
  journal= {arXiv preprint arXiv:2010.09179},
  year   = {2021}
}

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9 pages