Rigidity and stability results for mean convex subsets in $RCD$ spaces
Speaker:
Christian Ketterer, University of Freiburg
Date and Time:
Wednesday, November 23, 2022 - 3:10pm to 4:00pm
Location:
Fields, 210
Abstract:
I present splitting theorems for mean convex subsets in RCD spaces. This extends results for Riemannian manifolds with boundary by Kasue, Croke and Kleiner to a non-smooth setting. A corollary is a Frankel-type theorem. I also show that the notion of mean curvature bounded from below for the boundary of an open subset is stable w.r.t. to uniform convergence of the corresponding boundary distance function.