Artículos de revistas
f-Structures on the classical flag manifold which admit (1,2)-symplectic metrics
Registro en:
Tohoku Mathematical Journal. Tohoku University, v. 57, n. 2, n. 261, n. 271, 2005.
0040-8735
WOS:000231341100007
10.2748/tmj/1119888339
Autor
Cohen, N
Negreiros, CJC
Paredes, M
Pinzon, S
San Martin, LAB
Institución
Resumen
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extends and unifies two previous approaches: a paper of Brouwer in 1980 on locally transitive digraphs, involving unpublished work by Cameron; and work by Mo, Paredes, Negreiros, Cohen and San Martin on cone-free digraphs.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. 57 2 261 271