Band width estimates with lower spectral curvature bounds

Xiaoxiang Chai; Yukai Sun

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arXiv · 2504.10142

Band width estimates with lower spectral curvature bounds

Xiaoxiang Chai·Yukai Sun

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Abstract

In this work, we use the warped $ \mu $-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.

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Xiaoxiang Chai, Yukai Sun. 2025-04-14. Band width estimates with lower spectral curvature bounds. https://arxiv.org/abs/2504.10142

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