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dc.contributor.author
Di Scala, Antonio J.  
dc.contributor.author
Lauret, Jorge Ruben  
dc.contributor.author
Vezzoni, Luigi  
dc.date.available
2023-06-07T16:01:41Z  
dc.date.issued
2012-10  
dc.identifier.citation
Di Scala, Antonio J.; Lauret, Jorge Ruben; Vezzoni, Luigi; Quasi-Kähler Chern-flat manifolds and complex 2-step nilpotent Lie algebras; Scuola Normale Superiore; Annali Della Scuola Normale Superiore Di Pisa Cl. Di Scienze - Iv; 11; 10-2012; 41-60  
dc.identifier.issn
0391-173X  
dc.identifier.uri
http://hdl.handle.net/11336/199848  
dc.description.abstract
The study of quasi-K"ahler Chern-flat almost Hermitian manifolds is strictly related to the study of anti-bi-invariant almost complex Lie algebras.In the present paper we show that quasi-K"ahler Chern-flat almost Hermitian structures on compact manifolds are in correspondence tocomplex parallelisable Hermitian structures satisfying the second Gray identity.From an algebraic point of view this correspondence reads as a natural correspondence betweenanti-bi-invariant almost complex structures on Lie algebras to bi-invariant complex structures.Some natural algebraic problems are approached and some exotic examples are carefully described.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Scuola Normale Superiore  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
2-step nilpotent  
dc.subject
Chern-flat  
dc.subject
complex structures  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Quasi-Kähler Chern-flat manifolds and complex 2-step nilpotent Lie algebras  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-06-07T15:15:58Z  
dc.journal.volume
11  
dc.journal.pagination
41-60  
dc.journal.pais
Italia  
dc.description.fil
Fil: Di Scala, Antonio J.. No especifíca;  
dc.description.fil
Fil: Lauret, Jorge Ruben. 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.description.fil
Fil: Vezzoni, Luigi. No especifíca;  
dc.journal.title
Annali Della Scuola Normale Superiore Di Pisa Cl. Di Scienze - Iv  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://journals.sns.it/index.php/annaliscienze/article/view/256