4 papers
Topics in Magnetic Geometry: Interpolation, Intersections and Integrability
Lina Deschamps, Levin Maier, Tom Stalljohann
This paper develops new links between contact geometry, magnetic dynamics, and symmetry in exact magnetic systems. First, we establish an interpolation property for Killing magneti…
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…
Open problems in billiards and quantitative symplectic geometry
Bernhard Albach, Jean-François Barraud, Misha Bialy +13
This document collects contributions to the Open Problem List in Billiards and Quantitative Symplectic Geometry, compiled following discussions during the workshop ``Billiards and…
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…