Noncommutative Ricci flow in a matrix geometry
Mathematical Physics
2014-02-10 v2 High Energy Physics - Theory
math.MP
Quantum 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.
Cite
@article{arxiv.1310.2900,
title = {Noncommutative Ricci flow in a matrix geometry},
author = {Rocco Duvenhage},
journal= {arXiv preprint arXiv:1310.2900},
year = {2014}
}
Comments
v1: 16 pages. v2: Some remarks added as suggested by the referees, 18 pages