Ricci Curvature on Polyhedral Surfaces via Optimal Transportation
Ricci Curvature on Polyhedral Surfaces via Optimal Transportation
The problem of defining correctly geometric objects such as the curvature is a hard one in discrete geometry. In 2009, Ollivier defined a notion of curvature applicable to a wide category of measured metric spaces, in particular to graphs. He named it coarse Ricci curvature because it coincides, up to …