info:eu-repo/semantics/article
Invariant almost complex structures on real flag manifolds
Fecha
2018-12Registro en:
Freitas, Ana P. C.; del Barco, Viviana Jorgelina; San Martin, Luiz A. B.; Invariant almost complex structures on real flag manifolds; Springer Heidelberg; Annali Di Matematica Pura Ed Applicata; 197; 6; 12-2018; 1821-1844
0373-3114
1618-1891
CONICET Digital
CONICET
Autor
Freitas, Ana P. C.
del Barco, Viviana Jorgelina
San Martin, Luiz A. B.
Resumen
In this work, we study the existence of invariant almost complex structures on real flag manifolds associated to split real forms of complex simple Lie algebras. We show that, contrary to the complex case where the invariant almost complex structures are well known, some real flag manifolds do not admit such structures. We check which invariant almost complex structures are integrable and prove that only some flag manifolds of the Lie algebra C l admit complex structures.