Some results on the geometry of full
flag manifolds and harmonic maps
Marlio Paredes Universidad Industrial de Santander, Bucaramanga, Colombia
Abstract.
In this note we study, for n = 5; 6; 7, the geometry of the full flag manifolds, . By using tournaments we characterize all of the (1,2)-symplectic invariant metrics on F(n), for n = 5; 6; 7, corresponding to different classes of non-integrable invariant almost complex structure
Palabras claves. Flag manifolds, (1,2)-symplectic metrics, harmonic maps,Hermitian geometry.