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<p>In this article, we obtain that compact simple Lie groups <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44198_2025_313_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="164" /> </InlineMediaObject> <EquationSource Format="TEX">\(Sp(n)(n=4k+3\ge 7)\)</EquationSource> </InlineEquation> admit at least two new non-naturally reductive Einstein metrics, which are <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44198_2025_313_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="348" /> </InlineMediaObject> <EquationSource Format="TEX">\(Ad(Sp(k+1)\times Sp(k+1)\times Sp(k+1)\times Sp(k))\)</EquationSource> </InlineEquation>-invariant.</p>

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Two New Non-Naturally Reductive Einstein Metrics on Sp(n)

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月14日

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  • Xiaosheng Li,
  • Ju Tan,
  • Na Xu

摘要

In this article, we obtain that compact simple Lie groups \(Sp(n)(n=4k+3\ge 7)\) admit at least two new non-naturally reductive Einstein metrics, which are \(Ad(Sp(k+1)\times Sp(k+1)\times Sp(k+1)\times Sp(k))\) -invariant.