Metric Ricci curvature for $PL$ manifolds

Abstract

We introduce a metric notion of Ricci curvature for $PL$ manifolds and study its convergence properties. We also prove a fitting version of the Bonnet-Myers Theorem, for surfaces as well as for a large class of higher dimensional manifolds.

20 pages

References in corpus (2)

• Fat Triangulations and Differential Geometry
• On the properties of the combinatorial Ricci flow for surfaces