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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.17854 |
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| _version_ | 1866909089408221184 |
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| author | Dorn, Harald |
| author_facet | Dorn, Harald |
| contents | The conformal nature of smooth curves in $\mathbb{R}^3$ is characterised by conformal length, curvature and torsion. We present a derivation of these conformal parameters via a limiting process using inscribed polygons with circular edges . The procedure is based on elementary geometry in $\mathbb{R}^3$ only and similar to the rectification of curves in the metrical case. It seems to be not available in the literature so far. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17854 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conformal invariants of curves via those for inscribed polygons with circular edges Dorn, Harald Differential Geometry High Energy Physics - Theory Mathematical Physics The conformal nature of smooth curves in $\mathbb{R}^3$ is characterised by conformal length, curvature and torsion. We present a derivation of these conformal parameters via a limiting process using inscribed polygons with circular edges . The procedure is based on elementary geometry in $\mathbb{R}^3$ only and similar to the rectification of curves in the metrical case. It seems to be not available in the literature so far. |
| title | Conformal invariants of curves via those for inscribed polygons with circular edges |
| topic | Differential Geometry High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2401.17854 |