On the space of cone geodesics and positive paths of contactomorphisms
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912785330339840 |
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| author | Hedicke, Jakob |
| author_facet | Hedicke, Jakob |
| contents | Often it is possible to equip the space of all cone geodesics of a strongly convex cone structure with the structure of a smooth contact manifold. This generalizes the analogous notions for the space of light rays of a Lorentzian spacetime. After reviewing these constructions on the space of cone geodesics, with a focus on the natural contact structure, we establish a correspondence between positive paths of contactomorphisms in spherical cotangent bundles and certain globally hyperbolic cone structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20149 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the space of cone geodesics and positive paths of contactomorphisms Hedicke, Jakob Differential Geometry Mathematical Physics Symplectic Geometry 53C50, 53D10, 53C60 Often it is possible to equip the space of all cone geodesics of a strongly convex cone structure with the structure of a smooth contact manifold. This generalizes the analogous notions for the space of light rays of a Lorentzian spacetime. After reviewing these constructions on the space of cone geodesics, with a focus on the natural contact structure, we establish a correspondence between positive paths of contactomorphisms in spherical cotangent bundles and certain globally hyperbolic cone structures. |
| title | On the space of cone geodesics and positive paths of contactomorphisms |
| topic | Differential Geometry Mathematical Physics Symplectic Geometry 53C50, 53D10, 53C60 |
| url | https://arxiv.org/abs/2512.20149 |