Noncommutative Ricci flow in a matrix geometry

Duvenhage, Rocco de Villiers

dc.contributor.author	Duvenhage, Rocco de Villiers
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