Spiraling conformal geodesics
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914015125438464 |
|---|---|
| author | Kamiński, Wojciech |
| author_facet | Kamiński, Wojciech |
| contents | In this short note, we construct an example of spiraling conformal geodesic in Euclidean signature in dimension $3$, answering the question posed by Helmuth Friedrich and Paul Tod, if such objects exists. Our example is not real analytic, but similar constructions can lead also to real analytic metrics in arbitrary dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00606 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spiraling conformal geodesics Kamiński, Wojciech Differential Geometry General Relativity and Quantum Cosmology Mathematical Physics In this short note, we construct an example of spiraling conformal geodesic in Euclidean signature in dimension $3$, answering the question posed by Helmuth Friedrich and Paul Tod, if such objects exists. Our example is not real analytic, but similar constructions can lead also to real analytic metrics in arbitrary dimensions. |
| title | Spiraling conformal geodesics |
| topic | Differential Geometry General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2509.00606 |