Ricci Curvature on Polyhedral Surfaces via Optimal Transportation

The problem of correctly defining 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, u...

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Bibliographic Details
Main Authors: Benoît Loisel, Pascal Romon
Format: Article
Language:English
Published: MDPI AG 2014-03-01
Series:Axioms
Subjects:
Online Access:http://www.mdpi.com/2075-1680/3/1/119