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    Revista Colombiana de Matemáticas
    Volumen 34 [ 2] ( 2000) Páginas 57-89


    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.

    Codigo AMS. 2000 Primary 53C15. Secondary 53C55, 14M15, 58E20, 05C20.

    Archivo completo : Formato [PDF] (361 K).