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Nov 30, 2013 at 19:19 comment added Petya In "Lectures on Symplectic Manifolds" by Weinstein that is written on the page 9.
Nov 30, 2013 at 18:48 comment added Petya I do not know such a reference, but that result is a one line corollary of the existence of a compatible complex structure (on fibers). If $J(b), b\in B$ be a section of the associated bundle of compatible almost complex structures on the initial symplectic bundle then $J(b)L(b)$ be a fiber of Lagrangian complement you are looking for.
Nov 30, 2013 at 18:35 history edited agt CC BY-SA 3.0
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Nov 30, 2013 at 18:25 history asked agt CC BY-SA 3.0