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Metric Ricci curvature for $PL$ manifolds (1203.1592v1)
Published 7 Mar 2012 in math.DG and cs.CG
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.