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math.MG2015
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…
math.DG2015
On the geometry of metric measure spaces with variable curvature bounds
Christian Ketterer
Motivated by a classical comparison result of J. C. F. Sturm we introduce a curvature-dimension condition CD(k,N) for general metric measure spaces and variable lower curvature bou…