Scholarlink

<p>We prove that the space of free boundary CMC surfaces of bounded topology, bounded area and bounded boundary length is compact in the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10711_2025_982_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="23" /> </InlineMediaObject> <EquationSource Format="TEX">\(C^k\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>C</mi> <mi>k</mi> </msup> </math></EquationSource> </InlineEquation> graphical sense away from a finite set of points. This is a CMC version of a result for minimal surfaces by Fraser and Li (J Differ Geom 96:183-200, 2014).</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Compactness of the space of free boundary CMC surfaces with bounded topology

  • 期刊论文

  • 发表日期：

    2025年4月19日

查看全文
  • Nicolau S. Aiex,
  • Han Hong

摘要

We prove that the space of free boundary CMC surfaces of bounded topology, bounded area and bounded boundary length is compact in the \(C^k\) C k graphical sense away from a finite set of points. This is a CMC version of a result for minimal surfaces by Fraser and Li (J Differ Geom 96:183-200, 2014).