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A maximum principle for free boundary minimal varieties of arbitrary codimension

Martin Man-chun Li Chinese University of Hong Kong Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10004

arXiv preprint arXiv:1708.05001, 2017.5
We establish a boundary maximum principle for free boundary minimal submanifolds in a Riemannian manifold with boundary, in any dimension and codimension. Our result holds more generally in the context of varifolds.
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  • to appear in Communications in Analysis and Geometry
@inproceedings{martin2017a,
  title={A maximum principle for free boundary minimal varieties of arbitrary codimension},
  author={Martin Man-chun Li, and Xin Zhou},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20200103163949431168618},
  booktitle={arXiv preprint  arXiv:1708.05001},
  year={2017},
}
Martin Man-chun Li, and Xin Zhou. A maximum principle for free boundary minimal varieties of arbitrary codimension. 2017. In arXiv preprint arXiv:1708.05001. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20200103163949431168618.
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