most citedMagnetic flows on Sol-manifolds: dynamical and symplectic aspects

8 citations · 16 across the 5 of their papers we have counts for

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math.DS2007★ 5 cited

Positve Entropy Geodesic Flows on Nilmanifolds

Leo T. Butler, Vassili Gelfreich

Let T be the nilpotent group of 4 x 4 real upper triangular matrices. In this note we show that the Euler equations of certain left-invariant riemannian metrics on T have a horsesh…

math.DS2007★ 8 cited

Magnetic flows on Sol-manifolds: dynamical and symplectic aspects

Leo T. Butler, Gabriel P. Paternain

We consider magnetic flows on compact quotients of the 3-dimensional solvable geometry Sol determined by the usual left-invariant metric and the distinguished monopole. We show tha…