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math.MG2019
A Simple Differential Geometry for Networks and its Generalizations
Emil Saucan, Areejit Samal, Jürgen Jost
Based on two classical notions of curvature for curves in general metric spaces, namely the Menger and Haantjes curvatures, we introduce new definitions of sectional, Ricci and sca…
math.MG2019
Metric Curvatures and their Applications 2: Metric Ricci Curvature and Flow
Emil Saucan
In this second part of our overview of the different metric curvatures and their various applications, we concentrate on the Ricci curvature and flow for polyhedral surfaces and hi…