5 papers
On Global Weak Solutions for the Magnetic Two-Component Hunter-Saxton System
Levin Maier
We study the magnetic two-component Hunter-Saxton system (M2HS), which was recently derived in \cite{M24} as a magnetic geodesic equation on an infinite-dimensional configuration s…
On Mañé's Critical Value for Tonelli Lagrangians on Half Lie-Groups
Levin Maier, Francesco Ruscelli
In this article, we introduce Tonelli Lagrangians on half-Lie groups equipped with a strong right-invariant Riemannian metric. These are right-invariant Lagrangians defined on the…
The Hopf--Rinow Theorem and Mañé's Critical Value for Magnetic Geodesics on Half Lie-Groups
Levin Maier, Francesco Ruscelli
In this article, we investigate \emph{right-invariant magnetic systems} on half-Lie groups, which consist of a strong right-invariant Riemannian metric and a right-invariant closed…
The growth rate of closed prime magnetic geodesics on closed contact manifolds
Lina Deschamps, Levin Maier, Tom Stalljohann
In this paper, we prove that for any given closed contact manifold, there exists an infinite-dimensional space of Riemannian metrics which can be identified with the space of bundl…
The Hopf-Rinow theorem and the Mañé critical value for magnetic geodesics on odd-dimensional spheres
Peter Albers, Gabriele Benedetti, Levin Maier
The subject of this article are magnetic geodesics on odd-dimensional spheres endowed with the round metric and with the magnetic potential given by the standard contact form. We c…