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|Type:||Artigo de periódico|
|Title:||A Rank-three Condition For Invariant (1, 2)-symplectic Almost Hermitian Structures On Flag Manifolds|
San Martin L.A.B.
|Abstract:||This paper considers invariant (1, 2)-symplectic almost Hermitian structures on the maximal flag manifod associated to a complex semi-simple Lie group G. The concept of cone-free invariant almost complex structure is introduced. It involves the rank-three subgroups of G, and generalizes the cone-free property for tournaments related to Sl (n,ℂ) case. It is proved that the cone-free property is necessary for an invariant almost-complex structure to take part in an invariant (1, 2)-symplectic almost Hermitian structure. It is also sufficient if the Lie group is not B l, l ≥ 3, G 2 or F 4. For B l and F 4 a close condition turns out to be sufficient. © 2002, Sociedade Brasileira de Matemática.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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