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dc.contributor.author
Herrera, A.
dc.contributor.author
Origlia, Marcos Miguel
dc.date.available
2023-07-11T15:17:43Z
dc.date.issued
2022-05-22
dc.identifier.citation
Herrera, A.; Origlia, Marcos Miguel; Invariant conformal Killing–Yano 2-forms on five-dimensional Lie groups; Springer; The Journal Of Geometric Analysis; 32; 8; 22-5-2022; 1-24
dc.identifier.issn
1050-6926
dc.identifier.uri
http://hdl.handle.net/11336/203269
dc.description.abstract
We study left invariant conformal Killing–Yano (CKY) 2-forms on Lie groups endowed with a left invariant metric. We classify all 5-dimensional metric Lie algebras carrying CKY tensors that are obtained as a one-dimensional central extension of 4-dimensional metric Lie algebras endowed with an invertible parallel skew-symmetric tensor. On the other hand, we also classify 5-dimensional metric Lie algebras with center of dimension greater than one admitting strict CKY tensors. In addition, we determine all possible CKY tensors on these metric Lie algebras. In particular, we exhibit the first examples of CKY 2-forms on metric Lie algebras which do not admit any Sasakian structure.
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
CONFORMAL KILLING–YANO FORMS
dc.subject
LEFT INVARIANT METRICS
dc.subject
LIE GROUPS
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Invariant conformal Killing–Yano 2-forms on five-dimensional Lie groups
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-07-05T15:10:39Z
dc.identifier.eissn
1559-002X
dc.journal.volume
32
dc.journal.number
8
dc.journal.pagination
1-24
dc.journal.pais
Alemania
dc.journal.ciudad
Berlín
dc.description.fil
Fil: Herrera, A.. Universidad Nacional de Córdoba; Argentina
dc.description.fil
Fil: Origlia, Marcos Miguel. 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
The Journal Of Geometric Analysis
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s12220-022-00951-x
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s12220-022-00951-x
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