dc.creator | Jardim, M | |
dc.creator | Leao, RF | |
dc.date | 2009 | |
dc.date | JUN | |
dc.date | 2014-07-30T17:52:56Z | |
dc.date | 2015-11-26T17:41:09Z | |
dc.date | 2014-07-30T17:52:56Z | |
dc.date | 2015-11-26T17:41:09Z | |
dc.date.accessioned | 2018-03-29T00:22:54Z | |
dc.date.available | 2018-03-29T00:22:54Z | |
dc.identifier | Journal Of Mathematical Physics. Amer Inst Physics, v. 50, n. 6, 2009. | |
dc.identifier | 0022-2488 | |
dc.identifier | WOS:000267599900031 | |
dc.identifier | 10.1063/1.3133944 | |
dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/68651 | |
dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/68651 | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1286927 | |
dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
dc.description | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
dc.description | Given 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.description | 50 | |
dc.description | 6 | |
dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
dc.description | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
dc.description | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
dc.description | CNPq [305464/2007-8] | |
dc.description | FAPESP [2005/04558-0] | |
dc.language | en | |
dc.publisher | Amer Inst Physics | |
dc.publisher | Melville | |
dc.publisher | EUA | |
dc.relation | Journal Of Mathematical Physics | |
dc.relation | J. Math. Phys. | |
dc.rights | aberto | |
dc.source | Web of Science | |
dc.subject | Quaternionic Kahler-manifolds | |
dc.subject | 1st Eigenvalue | |
dc.subject | Spectrum | |
dc.title | On the eigenvalues of the twisted Dirac operator | |
dc.type | Artículos de revistas | |