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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★ 17 cited
Topology and curvature of metric spaces
Parvaneh Joharinad, Jürgen Jost
We develop a new concept of non-positive curvature for metric spaces, based on intersection patterns of closed balls. In contrast to the synthetic approaches of Alexandrov and Bues…