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dc.provenanceCONICET-
dc.creatorWill, Cynthia Eugenia-
dc.date2018-09-17T20:43:58Z-
dc.date2018-09-17T20:43:58Z-
dc.date2017-02-
dc.date2018-09-14T19:01:26Z-
dc.date.accessioned2019-04-29T15:44:50Z-
dc.date.available2019-04-29T15:44:50Z-
dc.date.issued2017-02-
dc.identifierWill, Cynthia Eugenia; Negative Ricci curvature on some non-solvable Lie groups; Springer; Geometriae Dedicata; 186; 1; 2-2017; 181-195-
dc.identifier0046-5755-
dc.identifierhttp://hdl.handle.net/11336/59979-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/300964-
dc.descriptionWe show that for any non-trivial representation (V, π) of u(2) with the center acting as multiples of the identity, the semidirect product u(2) ⋉ πV admits a metric with negative Ricci curvature that can be explicitly obtained. It is proved that u(2) ⋉ πV degenerates to a solvable Lie algebra that admits a metric with negative Ricci curvature. An n-dimensional Lie group with compact Levi factor SU (2) admitting a left invariant metric with negative Ricci is therefore obtained for any n≥ 7.-
dc.descriptionFil: Will, Cynthia Eugenia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherSpringer-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10711-016-0185-x-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10711-016-0185-x-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.source.urihttp://hdl.handle.net/11336/59979-
dc.subjectLIE GROUPS-
dc.subjectRICCI CURVATURE-
dc.subjectRIEMANNIAN METRICS-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleNegative Ricci curvature on some non-solvable Lie groups-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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