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<p>We prove that a vertical plane is the only complete translator, properly immersed in <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb {R}^3\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mn>3</mn> </msup> </math></EquationSource> </InlineEquation> and having finite topology, whose ends are asymptotic to vertical planes.</p>

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Translators Asymptotic to Planes

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月1日

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  • Stephen Lynch,
  • Giuseppe Tinaglia

摘要

We prove that a vertical plane is the only complete translator, properly immersed in \(\mathbb {R}^3\) R 3 and having finite topology, whose ends are asymptotic to vertical planes.