39 citations · 79 across the 12 of their papers we have counts for
22 papers
Glued spaces and lower Ricci curvature bounds
Christian Ketterer
We consider Riemannian manifolds , , with boundary and non-negative such that the pair admits Bakry-Emery -Ricci curvature bo…
Characterization of the null energy condition via displacement convexity of entropy
Christian Ketterer
We characterize the null energy condition for an -dimensional Lorentzian manifold in terms of convexity of the relative -Renyi entropy along displacement interpolatio…
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…
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…
Stability of metric measure spaces with integral Ricci curvature bounds
Christian Ketterer
In this article we study stability and compactness w.r.t. measured Gromov-Hausdorff convergence of smooth metric measure spaces with integral Ricci curvature bounds. More precisely…
Inscribed Radius Bounds for Lower Ricci Bounded Metric Measure Spaces with Mean Convex Boundary
Annegret Burtscher, Christian Ketterer, Robert J. McCann +1
Consider an essentially nonbranching metric measure space with the measure contraction property of Ohta and Sturm, or with a Ricci curvature lower bound in the sense of Lott, Sturm…