Analyticity and spectral properties of noncommutative Ricci flow in a matrix geometry

Duvenhage, Rocco de Villiers; Van Staden, Wernd; Wuzyk, Jan

dc.contributor.author	Duvenhage, Rocco de Villiers
dc.contributor.author	Van Staden, Wernd
dc.contributor.author	Wuzyk, Jan
dc.date.accessioned	2018-04-17T07:30:25Z
dc.date.issued	2018-02
dc.description.abstract	We study a first variation formula for the eigenvalues of the Laplacian evolving under the Ricci flow in a simple example of a noncommutative matrix geometry, namely a finite dimensional representation of a noncommutative torus. In order to do so, we first show that the Ricci flow in this matrix geometry is analytic.	en_ZA
dc.description.department	Physics	en_ZA
dc.description.embargo	2019-02-15
dc.description.librarian	hj2018	en_ZA
dc.description.sponsorship	The National Research Foundation of South Africa (grant number 85811).	en_ZA
dc.description.uri	http://www.elsevier.com/locate/laa	en_ZA
dc.identifier.citation	Duvenhage, R., Van Staden, W. & Wuzyk, J. 2018, 'Analyticity and spectral properties of noncommutative Ricci flow in a matrix geometry', Linear Algebra and its Applications, vol. 539, pp. 160-174.	en_ZA
dc.identifier.issn	0024-3795
dc.identifier.other	10.1016/j.laa.2017.11.004
dc.identifier.uri	http://hdl.handle.net/2263/64589
dc.language.iso	en	en_ZA
dc.publisher	Elsevier	en_ZA
dc.rights	© 2018 Elsevier Inc. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Linear Algebra and its Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Linear Algebra and its Applications, vol. 539, pp. 160-174. 2018. doi : 10.1016/j.laa.2017.11.004.	en_ZA
dc.subject	Ricci flow	en_ZA
dc.subject	Noncommutative geometry	en_ZA
dc.subject	Matrix geometry	en_ZA
dc.subject	Spectrum of the Laplacian	en_ZA
dc.title	Analyticity and spectral properties of noncommutative Ricci flow in a matrix geometry	en_ZA
dc.type	Postprint Article	en_ZA