Global hypersurfaces of section for geodesic flows on convex hypersurfaces
Copyright policy )Global hypersurfaces of section for geodesic flows on convex hypersurfaces
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
- Seoul National University Korea (Republic of)
Geodesic flows in symplectic geometry and contact geometry, Global theory of symplectic and contact manifolds, 53D25, return map, global section hypersurfaces, Differential Geometry (math.DG), Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), geodesic flow, convex hypersurfaces, FOS: Mathematics, Symplectic Geometry (math.SG), Symplectic Geometry, Differential Geometry
Geodesic flows in symplectic geometry and contact geometry, Global theory of symplectic and contact manifolds, 53D25, return map, global section hypersurfaces, Differential Geometry (math.DG), Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), geodesic flow, convex hypersurfaces, FOS: Mathematics, Symplectic Geometry (math.SG), Symplectic Geometry, Differential Geometry
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