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Classification of compact ancient solutions to the curve shortening flow

Panagiota Daskalopoulos Columbia University Richard Hamilton Columbia University Natasa Sesum Columbia University

Differential Geometry mathscidoc:1609.10169

Journal of Differential Geometry, 84, (3), 455-464, 2010
We consider an embedded convex compact ancient solution t to the curve shortening flow in R2. We prove that t is either a family of contracting circles, which is a type I ancient solution, or a family of evolving Angenent ovals, which is of type II.
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@inproceedings{panagiota2010classification,
  title={CLASSIFICATION OF COMPACT ANCIENT SOLUTIONS TO THE CURVE SHORTENING FLOW},
  author={Panagiota Daskalopoulos, Richard Hamilton, and Natasa Sesum},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160911212935416976826},
  booktitle={Journal of Differential Geometry},
  volume={84},
  number={3},
  pages={455-464},
  year={2010},
}
Panagiota Daskalopoulos, Richard Hamilton, and Natasa Sesum. CLASSIFICATION OF COMPACT ANCIENT SOLUTIONS TO THE CURVE SHORTENING FLOW. 2010. Vol. 84. In Journal of Differential Geometry. pp.455-464. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160911212935416976826.
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