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Hyper-symplectic structures on integrable systems

C. Bartocci·I. Mencattini
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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.

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C. Bartocci, I. Mencattini. 2003-08-26. Hyper-symplectic structures on integrable systems. https://doi.org/10.1016/j.geomphys.2003.09.011

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