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dc.creatorCalvaruso, Giovanni-
dc.creatorOvando, Gabriela Paola-
dc.date2018-07-26T17:56:29Z-
dc.date2018-07-26T17:56:29Z-
dc.date2018-01-
dc.date2018-07-26T14:00:10Z-
dc.date.accessioned2019-04-29T15:51:04Z-
dc.date.available2019-04-29T15:51:04Z-
dc.date.issued2018-01-
dc.identifierCalvaruso, Giovanni; Ovando, Gabriela Paola; From almost (para)-complex structures to affine structures on Lie groups; Springer; Manuscripta Mathematica; 155; 1-2; 1-2018; 89-113-
dc.identifier0025-2611-
dc.identifierhttp://hdl.handle.net/11336/53181-
dc.identifier1432-1785-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/303683-
dc.descriptionLet G= H⋉ K denote a semidirect product Lie group with Lie algebra g= h⊕ k, where k is an ideal and h is a subalgebra of the same dimension as k. There exist some natural split isomorphisms S with S2= ± Id on g: given any linear isomorphism j: h→ k, we get the almost complex structure J(x, v) = (- j- 1v, jx) and the almost paracomplex structure E(x, v) = (j- 1v, jx). In this work we show that the integrability of the structures J and E above is equivalent to the existence of a left-invariant torsion-free connection ∇ on G such that ∇ J= 0 = ∇ E and also to the existence of an affine structure on H. Applications include complex, paracomplex and symplectic geometries.-
dc.descriptionFil: Calvaruso, Giovanni. Università del Salento; Italia-
dc.descriptionFil: Ovando, Gabriela Paola. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherSpringer-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00229-017-0934-7-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00229-017-0934-7-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1604.08433-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.subjectComplex and paracomplex structures-
dc.subjectComplex product structures-
dc.subjectAffine structures-
dc.subjectLeft-symmetric algebras-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleFrom almost (para)-complex structures to affine structures on Lie groups-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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