39 citations · 79 across the 12 of their papers we have counts for
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Evolution variational inequality and Wasserstein control in variable curvature context
Christian Ketterer
In this note we continue the analysis of metric measure space with variable ricci curvature bounds. First, we study -convex functions on metric spaces where is a lower s…
Obata's rigidity theorem for metric measure spaces
Christian Ketterer
We prove Obata's rigidity theorem for metric measure spaces that satisfy a Riemannian curvature-dimension condition. Additionally, we show that a lower bound for the generalize…
Failure of topological rigidity results for the measure contraction property
Christian Ketterer, Tapio Rajala
We give two examples of metric measure spaces satisfying the measure contraction property MCP(K,N) but having different topological dimensions at different regions of the space. Th…
Cones over metric measure spaces and the maximal diameter theorem
Christian Ketterer
The main result of this article states that the (K;N)-cone over some metric measure space satisfies the reduced Riemannian curvature-dimension condition RCD^*(KN;N+1) if and only i…