9 citations · 49 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
The Maslov cocycle, smooth structures and real-analytic complete integrability
Leo T. Butler
This paper studies smooth obstructions to integrability and proves two main results. First, it is shown that if a smooth topological n-torus admits a real-analytically completely i…
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…
A Bayesian approach to the estimation of maps between riemannian manifolds
Leo T. Butler, Boris Levit
Let Θbe a smooth compact oriented manifold without boundary, embedded in a euclidean space and let γbe a smooth map Θinto a riemannian manifold Λ. An unknown state θ\in Θis observe…