Hyper-symplectic structures on integrable systems

Details Hyper-symplectic structures on integrable systems Hyper-symplectic structures on integrable systems

2003-08-26

arxiv.org/abs/math/0308244v1

Mathematics

Differential Geometry

LaTeX file, 7 pages; to be published in Journal of Geometry and Physics

Scientific paper

10.1016/j.geomphys.2003.09.011

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.

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