• Corpus ID: 227247544

Compactness of the Space of Free Boundary CMC Surfaces with Bounded Topology

@article{Aiex2020CompactnessOT,
  title={Compactness of the Space of Free Boundary CMC Surfaces with Bounded Topology},
  author={Nicolau Sarquis Aiex and Hansol Hong},
  journal={arXiv: Differential Geometry},
  year={2020}
}
We prove that the space of free boundary CMC surfaces of bounded topology, bounded area and bounded boundary length is compact in the $C^k$ graphical sense away from a finite set of points. This is a CMC version of a result for minimal surfaces by Fraser-Li \cite{fraser.a-li.m2014}. 
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