We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
65/2014
Metric Curvature Revisited - A Brief Overview
Emil Saucan
Abstract
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.
