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

dc.contributor.authorDuvenhage, Rocco de Villiers
dc.contributor.authorVan Staden, Wernd
dc.contributor.authorWuzyk, Jan
dc.contributor.emailrocco.duvenhage@up.ac.zaen_ZA
dc.date.accessioned2018-04-17T07:30:25Z
dc.date.issued2018-02
dc.description.abstractWe 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.departmentPhysicsen_ZA
dc.description.embargo2019-02-15
dc.description.librarianhj2018en_ZA
dc.description.sponsorshipThe National Research Foundation of South Africa (grant number 85811).en_ZA
dc.description.urihttp://www.elsevier.com/locate/laaen_ZA
dc.identifier.citationDuvenhage, 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.issn0024-3795
dc.identifier.other10.1016/j.laa.2017.11.004
dc.identifier.urihttp://hdl.handle.net/2263/64589
dc.language.isoenen_ZA
dc.publisherElsevieren_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.subjectRicci flowen_ZA
dc.subjectNoncommutative geometryen_ZA
dc.subjectMatrix geometryen_ZA
dc.subjectSpectrum of the Laplacianen_ZA
dc.titleAnalyticity and spectral properties of noncommutative Ricci flow in a matrix geometryen_ZA
dc.typePostprint Articleen_ZA

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