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<p>We prove that <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10455_2025_9990_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\(T^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>T</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation>-invariant Einstein metrics with non-negative sectional curvature on a four-manifold are locally symmetric.</p>

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Toric Einstein 4-manifolds with non-negative sectional curvature

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月2日

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  • Tianyue Liu

摘要

We prove that \(T^2\) T 2 -invariant Einstein metrics with non-negative sectional curvature on a four-manifold are locally symmetric.