Global Hypersurfaces of Section for Geodesic Flows on Convex Hypersurfaces
arXiv:2401.02667 · doi:10.1007/s00013-024-02018-5
Abstract
We construct a global hypersurface of section for the geodesic flow of a convex hypersurface in Euclidean space admits an isometric involution. This generalizes the Birkhoff annulus to higher dimensions.
11 pages