Duvenhage, Rocco de Villiers2014-02-202014-01Duvenhage, R 2014, 'Noncommutative Ricci flow in a matrix geometry', Journal of Physics A : Mathematical and Theoretical, vol. 47, no. 4,, art. no. 045203, pp. 1-13.0305-4470 (print)1361-6447 (online)10.1088/1751-8113/47/4/045203http://hdl.handle.net/2263/33623We 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.en© 2014 IOP Publishing LtdNoncommutative geometryMatrix geometryRicci flowPACS number : 02.40.GhPostprint Article