33 citations · 94 across the 12 of their papers we have counts for
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math.DG2020★ 24 cited
Generalized soap bubbles and the topology of manifolds with positive scalar curvature
Otis Chodosh, Chao Li
We prove that for , a closed aspherical -manifold does not admit a Riemannian metric with positive scalar curvature. Additionally, we show that for , the…
math.DG2020★ 5 cited
Dihedral rigidity of parabolic polyhedrons in hyperbolic spaces
Chao Li
In this note, we establish the dihedral rigidity phenomenon for a collection of parabolic polyhedrons enclosed by horospheres in hyperbolic manifolds, extending Gromov's comparison…
math.DG2020
Regularity of free boundary minimal surfaces in locally polyhedral domains
Nicholas Edelen, Chao Li
We prove an Allard-type regularity theorem for free-boundary minimal surfaces in Lipschitz domains locally modelled on convex polyhedra. We show that if such a minimal surface is s…