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<p>We prove a uniqueness result for free boundary minimal annuli in the unit Euclidean three-ball that are <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="574_2025_455_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\sigma \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>σ</mi> </math></EquationSource> </InlineEquation>-homothetic to the critical catenoid.</p>

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A \(\sigma \)-homothetic Uniqueness of the Critical Catenoid

  • 期刊论文

  • 发表日期：

    2025年5月29日

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  • Roney Santos,
  • Iury Domingos,
  • Feliciano Vitório

摘要

We prove a uniqueness result for free boundary minimal annuli in the unit Euclidean three-ball that are \(\sigma \) σ -homothetic to the critical catenoid.