6 papers
Periodic orbits for perturbations of Zoll contact forms
Tom Stalljohann
We consider the perturbation of a Zoll contact form on some prescribed domain of the underlying manifold by multiplying it with a positive function which is constant of value o…
An Abstract Perturbation Theorem for Compact Moduli Spaces
Peter Albers, Irene Seifert, Tom Stalljohann
Given a compact zero set of a Fredholm section, our theorem guarantees the existence of a perturbed compact smooth manifold nearby, leaving the original zero set unaltered wherever…
Compactness of Moduli Spaces of Gradient Flow Lines in the Uniform Topology
Tom Stalljohann
We prove a compactness result for gradient flow lines in a general set-up which comprises both the situation of Morse gradient flow lines as well as Floer cylinders converging to a…
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…
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…