Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

(1, 2)-Symplectic Metrics, Flag Manifolds and Tournaments

(1, 2)-Symplectic Metrics, Flag Manifolds and Tournaments 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 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. 2000 Mathematics Subject Classification 53C55, 05C20, 58E20. © London Mathematical Society http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Oxford University Press

(1, 2)-Symplectic Metrics, Flag Manifolds and Tournaments

Download PDF
9 pages

Loading next page...
 
/lp/oxford-university-press/1-2-symplectic-metrics-flag-manifolds-and-tournaments-4MrR9cFLfS

References (16)

Publisher
Oxford University Press
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/S002460930200142X
Publisher site
See Article on Publisher Site

Abstract

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 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. 2000 Mathematics Subject Classification 53C55, 05C20, 58E20. © London Mathematical Society

Journal

Bulletin of the London Mathematical Society – Oxford University Press

Published: Nov 1, 2002

There are no references for this article.