Claudio BARTOCCI
(Università degli Studi di Genova)

Special Kaehler geometry of classical integrable systems

A classical integrable system over a symplectic manifold whose symplectic form is covariantly constant carries a natural hyper-symplectic structure. Moreover, a special Kaehler structure is induced on the base manifold.

References:

  1. C. Bartocci, I. Mencattini, Hyper-symplectic structures on integrable systems, J. Geom. Phys. 50 (2004), 339-344, arXiv:math.DG/0308244.
  2. D. Freed, Special Kaehler manifolds, Comm. Math. Phys. 203 (1999), 31-52, arXiv:hep-th/9712042.
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