Linear Connections on Graphs

نویسندگان

  • Sunggoo Cho
  • Kwang Sung Park
چکیده

In recent years, discrete spaces such as graphs attract much attention as models for physical spacetime or as models for testing the spirit of non-commutative geometry. In this work, we construct the differential algebras for graphs by extending the work of Dimakis et al and discuss linear connections and curvatures on graphs. Especially, we calculate connections and curvatures explicitly for the general nonzero torsion case. Several examples are given.

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تاریخ انتشار 1997