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<p>In this work, we use the warped <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\( \mu \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>μ</mi> </math></EquationSource> </InlineEquation>-bubble method to study the consequences of a spectral curvature bound. In particular, with a lower spectral Ricci curvature bound and a lower spectral scalar curvature bound, we show that the band width of a torical band is bounded above. We also obtain some rigidity results.</p>

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Band width estimates with lower spectral curvature bounds

  • 期刊论文

  • 发表日期：

    2026年4月1日

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  • Xiaoxiang Chai,
  • Yukai Sun

摘要

In this work, we use the warped \( \mu \) μ -bubble method to study the consequences of a spectral curvature bound. In particular, with a lower spectral Ricci curvature bound and a lower spectral scalar curvature bound, we show that the band width of a torical band is bounded above. We also obtain some rigidity results.