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Embedded constant mean curvature tori in the three-sphere

Ben Andrews Australia National University Haizhong Li Tsinghua University

Differential Geometry mathscidoc:1611.10007

Silver Award Paper in 2017

j. differential geometry, 99, (2), 169-189, 2015.2
We prove that any constant mean curvature embedded torus in the three dimensional sphere is axially symmetric, and use this to give a complete classification of such surfaces for any given value of the mean curvature.
embedded, constant mean curvature, tori, classification
[ Download ] [ 2016-11-23 17:08:55 uploaded by lihz ] [ 732 downloads ] [ 0 comments ] [ Cited by 18 ] 
@inproceedings{ben2015embedded,
  title={Embedded constant mean curvature tori in the three-sphere},
  author={Ben Andrews, and Haizhong Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161123170855628413633},
  booktitle={j. differential geometry},
  volume={99},
  number={2},
  pages={169-189},
  year={2015},
}
Ben Andrews, and Haizhong Li. Embedded constant mean curvature tori in the three-sphere. 2015. Vol. 99. In j. differential geometry. pp.169-189. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161123170855628413633.
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