The geometry of a bi-Lagrangian manifold
In this survey the authors study bi-Lagrangian manifolds. Bi-Lagrangian manifolds are symplectic manifolds with two transversal Lagrangian foliations. The authors also consider the case when the two transversal Lagrangian distributions are non-integrable. They show that many different geometric structures can be attached to these manifolds and they analyze the associated connections. They introduce the problem of the intersection of the two leaves of the foliations.
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