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dc.contributor.author
Andrada, Adrián Marcelo  
dc.contributor.author
Dileo, Giulia  
dc.date.available
2024-02-07T10:49:35Z  
dc.date.issued
2023-02  
dc.identifier.citation
Andrada, Adrián Marcelo; Dileo, Giulia; Odd-dimensional counterparts of abelian complex and hypercomplex structures; Wiley VCH Verlag; Mathematische Nachrichten; 296; 2; 2-2023; 470-508  
dc.identifier.issn
0025-584X  
dc.identifier.uri
http://hdl.handle.net/11336/226074  
dc.description.abstract
We introduce the notion of abelian almost contact structures on an odd-dimensional real Lie algebra (Formula presented.). We investigate correspondences with even-dimensional Lie algebras endowed with an abelian complex structure, and with Kähler Lie algebras when (Formula presented.) carries a compatible inner product. The classification of 5-dimensional Sasakian Lie algebras with abelian structure is obtained. Later, we introduce abelian almost 3-contact structures on real Lie algebras of dimension (Formula presented.), obtaining the classification of these Lie algebras in dimension 7. Finally, we deal with the geometry of a Lie group G endowed with a left invariant abelian almost 3-contact metric structure. We determine conditions for G to admit a canonical metric connection with skew torsion, which plays the role of the Bismut connection for hyperKähler with torsion (HKT) structures arising from abelian hypercomplex structures. We provide examples and discuss the parallelism of the torsion of the canonical connection.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Wiley VCH Verlag  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
ABELIAN COMPLEX STRUCTURE  
dc.subject
ABELIAN HYPERCOMPLEX STRUCTURE  
dc.subject
ALMOST 3-CONTACT (METRIC) STRUCTURE  
dc.subject
ALMOST CONTACT (METRIC) STRUCTURE  
dc.subject
METRIC CONNECTION WITH SKEW-SYMMETRIC TORSION  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Odd-dimensional counterparts of abelian complex and hypercomplex structures  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2024-02-06T14:06:32Z  
dc.journal.volume
296  
dc.journal.number
2  
dc.journal.pagination
470-508  
dc.journal.pais
Alemania  
dc.journal.ciudad
Weinheim  
dc.description.fil
Fil: Andrada, Adrián Marcelo. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina  
dc.description.fil
Fil: Dileo, Giulia. Università degli Studi di Bari; Italia  
dc.journal.title
Mathematische Nachrichten  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/full/10.1002/mana.202000599  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1002/mana.202000599