7 papers · 1 filter
On the contact type conjecture for exact magnetic systems
Lina Deschamps, Levin Maier, Tom Stalljohann
In this article, we answer-for a class of magnetic systems-a question now known as the contact type conjecture, whose origin trace back to the 1998 work of Contreras, Iturriaga, Pa…
Information Geometry via the Q-Root Transform
Levin Maier
In this paper, we introduce \emph{-information geometry}, an infinite-dimensional framework that shares key features with the geometry of the space of probability densities…
On geometric hydrodynamics and infinite-dimensional magnetic systems
Levin Maier
In this article, we combine V. Arnold's celebrated approach via the Euler-Arnold equation -- describing the geodesic flow on a Lie group equipped with a right-invariant metric \cit…
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…
Information Geometry on the -Simplex via the -Root Transform
Levin Maier
In this paper, we introduce \emph{-information geometry}, an infinite dimensional framework that shares key features with the geometry of the space of probability densities…