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math.DG2025
Band width estimates with lower spectral curvature bounds
Xiaoxiang Chai, Yukai Sun
In this work, we use the warped \( μ\)-bubble method to study the consequences of a spectral curvature bound. In particular, with a lower spectral Ricci curvature bound and a lower…
math.DG2025
Scalar curvature rigidity of domains in a 3-dimensional warped product
Xiaoxiang Chai, Gaoming Wang
A warped product with a spherical factor and a logarithmically concave warping function satisfies a scalar curvature rigidity of the Llarull type. We develop a scalar curvature rig…