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Type: Artigo de periódico
Title: (1, 2)-symplectic Metrics, Flag Manifolds And Tournaments
Author: Cohen N.
Negreiros C.J.C.
San Martin L.A.B.
Abstract: It has recently been shown by Mo and Negreiros that a necessary condition for an invariant almost complex structure on the complex full flag manifold double-struck F(n) to admit a (1, 2)-symplectic invariant metric is that its associated tournament be cone-free. In this paper, a canonical stair-shaped form is given for such tournaments, and this is applied to show that the condition is also sufficient; in the process, all the associated (1, 2)-symplectic metrics are described.
Citation: Bulletin Of The London Mathematical Society. , v. 34, n. 6, p. 641 - 649, 2002.
Rights: fechado
Identifier DOI: 10.1112/S002460930200142X
Date Issue: 2002
Appears in Collections:Unicamp - Artigos e Outros Documentos

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