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math.DG2026
Some rigidity theorems for spectral curvature bounds
Xiaoxiang Chai, Yukai Sun
We investigate the geometric implications of spectral curvature bounds, extending classical rigidity results in scalar curvature geometry to the spectral setting. By systematically…
math.DG2026
Warped area-minimizing hypersurface and warped product metric
Yukai Sun
Several metric splitting theorems under spectral Ricci curvature lower bounds have been established in recent years, yet the existing literature mostly yields only isometric direct…