{
  "id": "1310.2900",
  "version": "v2",
  "published": "2013-10-10T17:50:28.000Z",
  "updated": "2014-02-07T14:47:12.000Z",
  "title": "Noncommutative Ricci flow in a matrix geometry",
  "authors": [
    "Rocco Duvenhage"
  ],
  "comment": "v1: 16 pages. v2: Some remarks added as suggested by the referees, 18 pages",
  "journal": "J. Phys. A: Math. Theor. 47 (2014) 045203",
  "doi": "10.1088/1751-8113/47/4/045203",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "quant-ph"
  ],
  "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-07T14:47:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.40.Gh"
    ],
    "keywords": [
      "matrix geometry",
      "study noncommutative ricci flow",
      "finite dimensional representation",
      "scalar curvature",
      "flat metric"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2014,
      "month": "Jan",
      "volume": 47,
      "number": 4,
      "pages": "045203"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1258014,
      "adsabs": "2014JPhA...47d5203D"
    }
  }
}