Band width estimates with lower spectral curvature bounds
Differential Geometry
2026-04-08 v2
Abstract
In this work, we use the warped -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.
Cite
@article{arxiv.2504.10142,
title = {Band width estimates with lower spectral curvature bounds},
author = {Xiaoxiang Chai and Yukai Sun},
journal= {arXiv preprint arXiv:2504.10142},
year = {2026}
}
Comments
final version, accepted by CVPDE