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arXiv · 2401.02667

Global Hypersurfaces of Section for Geodesic Flows on Convex Hypersurfaces

Sunghae Cho·Dongho Lee
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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.

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Sunghae Cho, Dongho Lee. 2024-01-05. Global Hypersurfaces of Section for Geodesic Flows on Convex Hypersurfaces. https://doi.org/10.1007/s00013-024-02018-5

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