Conformal invariants of curves via those for inscribed polygons with circular edges
| Autor: | Dorn, Harald |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 9 pages, 2 figures |
| Databáze: | arXiv |
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