Noncommutative Ricci flow in a matrix geometry
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Date
Authors
Duvenhage, Rocco de Villiers
Journal Title
Journal ISSN
Volume Title
Publisher
Institute of Physics
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.
Description
Keywords
Noncommutative geometry, Matrix geometry, Ricci flow, PACS number : 02.40.Gh
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Citation
Duvenhage, 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.