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arxiv: 1310.2900 · v2 · pith:IOL6QN7Xnew · submitted 2013-10-10 · 🧮 math-ph · hep-th· math.MP· quant-ph

Noncommutative Ricci flow in a matrix geometry

classification 🧮 math-ph hep-thmath.MPquant-ph
keywords flownoncommutativericciconsiderconvergescurvaturedefinitiondimensional
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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.

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