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The longitudinal KAM-cocycle of a magnetic flow
Let be a closed oriented surface of negative Gaussian curvature and let
be a non-exact 2-form. Let be a small positive real number.
We show that the longitudinal KAM-cocycle of the magnetic flow given by \la
\Omega is a coboundary if and only if the Gaussian curvature is constant and
is a constant multiple of the area form
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