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Mean curvature flow of higher codimension in hyperbolic spaces

Kefeng Liu Hongwei Xu Fei Ye Entao Zhao

Differential Geometry mathscidoc:1912.43071

arXiv preprint arXiv:1105.5686, 2011.5
In this paper we investigate the convergence for the mean curvature flow of closed submanifolds with arbitrary codimension in space forms. Particularly, we prove that the mean curvature flow deforms a closed submanifold satisfying a pinching condition in a hyperbolic space form to a round point in finite time.
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@inproceedings{kefeng2011mean,
  title={Mean curvature flow of higher codimension in hyperbolic spaces},
  author={Kefeng Liu, Hongwei Xu, Fei Ye, and Entao Zhao},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111357748489631},
  booktitle={arXiv preprint arXiv:1105.5686},
  year={2011},
}
Kefeng Liu, Hongwei Xu, Fei Ye, and Entao Zhao. Mean curvature flow of higher codimension in hyperbolic spaces. 2011. In arXiv preprint arXiv:1105.5686. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111357748489631.
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