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math.DG2021
Rigidity of mean convex subsets in non-negatively curved RCD spaces and stability of mean curvature bounds
Christian Ketterer
We prove splitting theorems for mean convex open subsets in RCD (Riemannian curvature-dimension) spaces that extend results by Kasue, Croke and Kleiner for Riemannian manifolds wit…
math.DG2021
The rigidity of sharp spectral gap in nonnegatively curved spaces
Christian Ketterer, Yu Kitabeppu, Sajjad Lakzian
We extend the celebrated rigidity of the sharp first spectral gap under to compact infinitesimally Hilbertian spaces with non-negative (weak, also called synthetic) Ricci…