CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Generalized complex and paracomplex structures on product manifolds
Autor/es:
GODOY, YAMILE; MARCOS SALVAI; EDISON FERNÁNDEZ-CULMA
Revista:
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
Editorial:
REAL ACAD CIENCIAS EXACTAS FISICAS & NATURALES
Referencias:
Lugar: Madrid; Año: 2020 vol. 114 p. 1 - 16
ISSN:
1578-7303
Resumen:
On a product manifold (M,r), we consider four geometric structures compatible with r, e.g. hyper-paracomplex or bi-Lagrangian, and define distinguished generalized complex or paracomplex structures on M, which interpolate between some pairs of them. We study the twistor bundles whose smooth sections are these new structures, obtaining the typical fibers as homogeneous spaces of classical groups. Also, we give examples of product manifolds admitting some of these new structures.
