Noncommutative Ricci flow in a matrix geometry
dc.contributor.author | Duvenhage, Rocco de Villiers | |
dc.contributor.email | rocco.duvenhage@up.ac.za | en_US |
dc.date.accessioned | 2014-02-20T11:52:17Z | |
dc.date.issued | 2014-01 | |
dc.description.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. | en_US |
dc.description.librarian | hb2014 | en_US |
dc.description.sponsorship | National Research Foundation of South Africa | en_US |
dc.description.uri | http://iopscience.iop.org/0305-4470 | en_US |
dc.identifier.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. | en_US |
dc.identifier.issn | 0305-4470 (print) | |
dc.identifier.issn | 1361-6447 (online) | |
dc.identifier.other | 10.1088/1751-8113/47/4/045203 | |
dc.identifier.uri | http://hdl.handle.net/2263/33623 | |
dc.language.iso | en | en_US |
dc.publisher | Institute of Physics | en_US |
dc.rights | © 2014 IOP Publishing Ltd | en_US |
dc.subject | Noncommutative geometry | en_US |
dc.subject | Matrix geometry | en_US |
dc.subject | Ricci flow | en_US |
dc.subject | PACS number : 02.40.Gh | en_US |
dc.title | Noncommutative Ricci flow in a matrix geometry | en_US |
dc.type | Postprint Article | en_US |
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