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arXiv:1310.2900 [math-ph]AbstractReferencesReviewsResources

Noncommutative Ricci flow in a matrix geometry

Rocco Duvenhage

Published 2013-10-10, updated 2014-02-07Version 2

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.

Comments: v1: 16 pages. v2: Some remarks added as suggested by the referees, 18 pages
Journal: J. Phys. A: Math. Theor. 47 (2014) 045203
Categories: math-ph, hep-th, math.MP, quant-ph
Subjects: 02.40.Gh
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