论文标题
自由边界cmc表面的紧凑度具有有限的拓扑
Compactness of the Space of Free Boundary CMC Surfaces with Bounded Topology
论文作者
论文摘要
我们证明，在$ c^k $的图形感中，有界拓扑，边界区域和边界长度的自由边界CMC表面的空间是紧凑的。这是Fraser-li \ cite {fraser.a-li.m2014}的最小表面结果的CMC版本。
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}.
