dc.creatorJardim, M
dc.creatorLeao, RF
dc.date2009
dc.dateJUN
dc.date2014-07-30T17:52:56Z
dc.date2015-11-26T17:41:09Z
dc.date2014-07-30T17:52:56Z
dc.date2015-11-26T17:41:09Z
dc.date.accessioned2018-03-29T00:22:54Z
dc.date.available2018-03-29T00:22:54Z
dc.identifierJournal Of Mathematical Physics. Amer Inst Physics, v. 50, n. 6, 2009.
dc.identifier0022-2488
dc.identifierWOS:000267599900031
dc.identifier10.1063/1.3133944
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/68651
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/68651
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1286927
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionGiven a compact Riemannian spin manifold whose untwisted Dirac operator has trivial kernel, we find a family of connections del(At) for t is an element of [0,1] on a trivial vector bundle of rank no larger than dim M+1, such that the first eigenvalue of the twisted Dirac operator D(At) is nonzero for t not equal 1 and vanishes for t = 1. However, if one restricts the class of twisting connections considered, then nonzero lower bounds do exist. We illustrate this fact by establishing a nonzero lower bound for the Dirac operator twisted by Hermitian-Einstein connections over Riemann surfaces. (C) 2009 American Institute of Physics. [DOI: 10.1063/1.3133944]
dc.description50
dc.description6
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionCNPq [305464/2007-8]
dc.descriptionFAPESP [2005/04558-0]
dc.languageen
dc.publisherAmer Inst Physics
dc.publisherMelville
dc.publisherEUA
dc.relationJournal Of Mathematical Physics
dc.relationJ. Math. Phys.
dc.rightsaberto
dc.sourceWeb of Science
dc.subjectQuaternionic Kahler-manifolds
dc.subject1st Eigenvalue
dc.subjectSpectrum
dc.titleOn the eigenvalues of the twisted Dirac operator
dc.typeArtículos de revistas


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