The Maslov cocycle, smooth structures, and real-analytic complete integrability (2009)
American Journal of Mathematics - Volume 131, Number 5, October 2009
Smooth structures on Eschenburg spaces: numerical computations (2009)
This paper numerically computes the topological and smooth invariants of Eschenburg spaces with small fourth cohomology group, following Kruggel's determination of the Kreck-Stolz invariants of...
A bayesian approach to the estimation of maps between riemannian manifolds, II: examples (2009)
Let M be a smooth compact oriented manifold without boundary, imbedded in a euclidean space E and let f be a smooth map of M into a Riemannian manifold N. An unknown state x in M is observed via...
Positive-Entropy Integrable Systems and the Toda Lattice, II (2009)
This note constructs completely integrable convex Hamiltonians on the cotangent bundle of certain k-dimensional torus bundles over an l-dimensional torus. A central role is played by the Lax...
Positve Entropy Geodesic Flows on Nilmanifolds (2007)
Butler, Leo T., Gelfreich, Vassili
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 horseshoe. We also show,...
The Maslov cocycle, smooth structures and real-analytic complete integrability (2007)
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 integrable convex...
Magnetic flows on Sol-manifolds: dynamical and symplectic aspects (2007)
Butler, Leo T., Paternain, Gabriel P.
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 that these flows have...
A Bayesian approach to the estimation of maps between riemannian manifolds (2007)
Let \Theta be a smooth compact oriented manifold without boundary, embedded in a euclidean space and let \gamma be a smooth map \Theta into a riemannian manifold \Lambda. An unknown state \theta \in...