Global Hypersurfaces of Section for Geodesic Flows on Convex Hypersurfaces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866918059563810816 |
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| author | Cho, Sunghae Lee, Dongho |
| author_facet | Cho, Sunghae Lee, Dongho |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02667 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global Hypersurfaces of Section for Geodesic Flows on Convex Hypersurfaces Cho, Sunghae Lee, Dongho Symplectic Geometry Differential Geometry 53D25 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. |
| title | Global Hypersurfaces of Section for Geodesic Flows on Convex Hypersurfaces |
| topic | Symplectic Geometry Differential Geometry 53D25 |
| url | https://arxiv.org/abs/2401.02667 |