Artículo
Quasi-Kähler Chern-flat manifolds and complex 2-step nilpotent Lie algebras
Fecha de publicación:
10/2012
Editorial:
Scuola Normale Superiore
Revista:
Annali Della Scuola Normale Superiore Di Pisa Cl. Di Scienze - Iv
ISSN:
0391-173X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
Palabras clave:
2-step nilpotent
,
Chern-flat
,
complex structures
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
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
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