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dc.contributor.author
Will, Cynthia Eugenia
dc.date.available
2021-03-05T17:46:48Z
dc.date.issued
2020-04
dc.identifier.citation
Will, Cynthia Eugenia; Negative Ricci curvature on some non-solvable Lie groups II; Springer; Mathematische Zeitschrift; 294; 3-4; 4-2020; 1085-1105
dc.identifier.issn
0025-5874
dc.identifier.uri
http://hdl.handle.net/11336/127645
dc.description.abstract
We construct many examples of Lie groups admitting a left-invariant metric of negative Ricci curvature. We study Lie algebras which are semidirect products l= (a⊕ u) ⋉ n and we obtain examples where u is any semisimple compact real Lie algebra, a is one-dimensional and n is a representation of u which satisfies some conditions. In particular, when u= su(m) , so(m) or sp(m) and n is a representation of u in some space of homogeneous polynomials, we show that these conditions are indeed satisfied. In the case u= su(2) we get a more general construction where n can be any nilpotent Lie algebra where su(2) acts by derivations. We also prove a general result in the case when u is a semisimple Lie algebra of non-compact type.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Negative Ricci Curvature
dc.subject
Lie Groups
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Negative Ricci curvature on some non-solvable Lie groups II
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-11-19T21:20:26Z
dc.journal.volume
294
dc.journal.number
3-4
dc.journal.pagination
1085-1105
dc.journal.pais
Alemania
dc.journal.ciudad
Berlín
dc.description.fil
Fil: 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.journal.title
Mathematische Zeitschrift
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00209-019-02310-z
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00209-019-02310-z
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