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<p>This paper proves that any CMC triharmonic hypersurface with diagonalizable shape operator in a 6-dimensional pseudo-Euclidean space <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12215_2025_1309_Article_IEq1.gif" Format="GIF" Height="22" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathbb {E}^6_q\)</EquationSource> </InlineEquation> is minimal.</p>

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Triharmonic hypersurfaces with constant mean curvature in a pseudo-Euclidean space

  • 期刊论文

  • 发表日期：

    2025年9月4日

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  • Li Du

摘要

This paper proves that any CMC triharmonic hypersurface with diagonalizable shape operator in a 6-dimensional pseudo-Euclidean space \(\mathbb {E}^6_q\) is minimal.