Hyper-symplectic structures on integrable systems
Differential Geometry
2009-11-10 v1
Abstract
We prove that an integrable system over a symplectic manifold, whose symplectic form is covariantly constant w.r.t. the Gauss-Manin connection, carries a natural hyper-symplectic structure. Moreover, a special Kaehler structure is induced on the base manifold.
Cite
@article{arxiv.math/0308244,
title = {Hyper-symplectic structures on integrable systems},
author = {C. Bartocci and I. Mencattini},
journal= {arXiv preprint arXiv:math/0308244},
year = {2009}
}
Comments
LaTeX file, 7 pages; to be published in Journal of Geometry and Physics