On Lax equations arising from Lagrangian foliations

Mathematics – Mathematical Physics

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Scientific paper

It is shown that Lax equations associated with dynamical systems on T
* Q of the same dimension as Q arise as local expressions of
parallelism of a (1,1)-tensor field along the dynamical vector field
Γ if the partial connection defined by the symplectic form Ω
admissible for a Lagrangian foliation is considered.

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