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arXiv · 2012.00956

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

Nicolau S. Aiex·Han Hong
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Abstract

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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Nicolau S. Aiex, Han Hong. 2020-12-02. Compactness of the Space of Free Boundary CMC Surfaces with Bounded Topology. https://doi.org/10.1007/s10711-025-00982-y

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