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math.DG2025
Level sets of harmonic functions on three-dimensional manifolds with nonnegative scalar curvature
Yukai Sun
We investigate the level sets of harmonic functions on . Drawing inspiration from Miao, we adopt the method developed by Munteanu-Wang to derive…
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…