Year: 2026
Type: preprint
Abstract: For a negatively curved surface, magnetic (or twisted geodesic) flows with nonpositive ''magnetic curvature'' have a large-scale geometry on the universal cover that retains some features associated with geodesic flows: magnetic boundary and visibility, possibly magnetically flat strips. This has dynamical consequences: orbit-equivalence to the geodesic flow, density of periodic points, transitivity, entropy-expansivity, existence of equilibrium states.
Source: arXiv (Cornell University)
Authors: Hasselblatt, Boris, Wang, JinCheng
Institution: Tufts University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203463982