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Type: Artigo de periódico
Title: f-Structures on the classical flag manifold which admit (1,2)-symplectic metrics
Author: Cohen, N
Negreiros, CJC
Paredes, M
Pinzon, S
San Martin, LAB
Abstract: We characterize the invariant f-structures F on the classical maximal flag manifold F(n) which admit (1,2)-symplectic metrics. This provides a sufficient condition for the existence of F-harmonic maps from any cosymplectic Riemannian manifold onto F(n). In the special case of almost complex structures, our analysis extends and unifies two previous approaches: a paper of Brouwer in 1980 on locally transitive digraphs, involving unpublished work by Cameron; and work by Mo, Paredes, Negreiros, Cohen and San Martin on cone-free digraphs. We also discuss the construction of (1,2)-symplectic metrics and calculate their dimension. Our approach is graph theoretic.
Subject: flag manifolds
(1,2)-symplectic structures
directed graphs
Country: Japão
Editor: Tohoku University
Citation: Tohoku Mathematical Journal. Tohoku University, v. 57, n. 2, n. 261, n. 271, 2005.
Rights: fechado
Identifier DOI: 10.2748/tmj/1119888339
Date Issue: 2005
Appears in Collections:Unicamp - Artigos e Outros Documentos

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