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MiS Preprint

Metric Curvature Revisited - A Brief Overview

Emil Saucan


We survey metric curvatures, special accent being placed upon the Wald curvature, its relationship with Alexandov curvature, as well as its application in defining a metric Ricci curvature for $PL$ cell complexes and a metric Ricci flow for PL surfaces. In addition, a simple, metric way of defining curvature for metric measure spaces is proposed.

Jul 14, 2014
Jul 16, 2014
MSC Codes:
53C44, 52C26, 68U05, 65D18, 51K10, 51K10, 57R40
Metric curvature, Alexandrov curvature, metric Ricci curvature flow, snow aking operator

Related publications

2017 Repository Open Access
Emil Saucan

Metric curvatures revisited : a brief overview

In: Modern approaches to discrete curvature / Laurent Najman... (eds.)
Cham : Springer, 2017. - pp. 63-114
(Lecture notes in mathematics ; 2184)