Hyper-symplectic structures on integrable systems
arXiv:math/0308244 · doi:10.1016/j.geomphys.2003.09.011
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.
LaTeX file, 7 pages; to be published in Journal of Geometry and Physics