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math.MG2024
A note on asymptotic cones of graph-adapted smocked spaces
Hollis Williams
Smocked spaces, introduced by Sormani and collaborators as a generalization of pulled thread spaces, provide a broad class of metric quotients of Euclidean space. In this note we i…
math.DG2024
Monotonicity of the Cheeger constant under Ricci flow on spheres
Hollis Williams
We study the behavior of the Cheeger isoperimetric constant under the Ricci flow on compact surfaces. For metrics on a surface diffeomorphic to , we show that the Cheeger cons…