2 citations · 7 across the 10 of their papers we have counts for
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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…
math.DS2007
On the injectivity of the X-ray transform for Anosov thermostats
Dan Jane, Gabriel P. Paternain
We consider Anosov thermostats on a closed surface and the X-ray transform on functions which are up to degree two in the velocities. We show that the subspace where the X-ray tran…
math.DG2007★ 1 cited
Dynamically convex Finsler metrics and -holomorphic embedding of asymptotic cylinders
Adam Harris, Gabriel P. Paternain
We explore the relationship between contact forms on defined by Finsler metrics on and the theory developed by H. Hofer, K. Wysocki and E. Zehnder in \c…