Noncommutative Ricci flow in a matrix geometry
arXiv:1310.2900 · doi:10.1088/1751-8113/47/4/045203
Abstract
We study noncommutative Ricci flow in a finite dimensional representation of a noncommutative torus. It is shown that the flow exists and converges to the flat metric. We also consider the evolution of entropy and a definition of scalar curvature in terms of the Ricci flow.
v1: 16 pages. v2: Some remarks added as suggested by the referees, 18 pages
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