Hostname: page-component-84b7d79bbc-g78kv Total loading time: 0 Render date: 2024-07-26T13:45:12.964Z Has data issue: false hasContentIssue false
  • English
  • Français

(1, 2)-SYMPLECTIC METRICS, FLAG MANIFOLDS AND TOURNAMENTS

Published online by Cambridge University Press:  24 March 2003

NIR COHEN ,
CAIO J. C. NEGREIROS  and
LUIZ A. B. SAN MARTIN
NIR COHEN
Affiliation:
Institute of Mathematics (Imecc), Universidade Estadual de Campinas, Cx. Postal 6065, 13.083-970, Campinas – SP, Brazilsmartin@ime.unicamp.br
CAIO J. C. NEGREIROS
Affiliation:
Institute of Mathematics (Imecc), Universidade Estadual de Campinas, Cx. Postal 6065, 13.083-970, Campinas – SP, Brazilsmartin@ime.unicamp.br
LUIZ A. B. SAN MARTIN
Affiliation:
Institute of Mathematics (Imecc), Universidade Estadual de Campinas, Cx. Postal 6065, 13.083-970, Campinas – SP, Brazilsmartin@ime.unicamp.br
Get access

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 ${\bb F}(n)$ 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.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 6 , November 2002 , pp. 641 - 649
Copyright
© The London Mathematical Society 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

First and third authors supported by CNPq grants 300019/96-3 and 301060/94-0 respectively.