Conformal invariants of curves via those for inscribed polygons with circular edges
Differential Geometry
2024-02-01 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The conformal nature of smooth curves in 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 only and similar to the rectification of curves in the metrical case. It seems to be not available in the literature so far.
Keywords
Cite
@article{arxiv.2401.17854,
title = {Conformal invariants of curves via those for inscribed polygons with circular edges},
author = {Harald Dorn},
journal= {arXiv preprint arXiv:2401.17854},
year = {2024}
}
Comments
9 pages, 2 figures