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Type: Artigo de periódico
Title: A Rank-three Condition For Invariant (1, 2)-symplectic Almost Hermitian Structures On Flag Manifolds
Author: Cohen N.
Negreiros C.J.C.
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.
Rights: fechado
Identifier DOI: 10.1007/s005740200002
Date Issue: 2002
Appears in Collections:Unicamp - Artigos e Outros Documentos

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