4 papers
On Conformal Flexibility of Completeness and Minimizing Geodesics on Hilbert Manifolds
Levin Maier
This article is part of a broader programme investigating which features of finite-dimensional Riemannian geometry persist in infinite dimensions. The Hopf--Rinow theorem fails eve…
On Periodic Geodesics of Half-Lie Groups
Martin Bauer, Levin Maier
A central program in infinite-dimensional Riemannian geometry is to understand which classical finite-dimensional principles remain valid beyond finite dimensions. In this article,…
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…
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…