Conformal arc-length as \(\frac 1 2 \)-dimensional length of the set of osculating circles

DOI10.4171/CMH/196zbMath1213.53015arXiv0803.1060MaRDI QIDQ2269702

Rémi Langevin, Jun O'Hara

Publication date: 17 March 2010

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1060

zbMATH Keywords

Grassmannianisotropic curveosculating circleconformal arc-lengthspace of circles

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items (9)

Conformal geometry of timelike curves in the \((1 + 2)\)-Einstein universe ⋮ Conformal invariants and spherical contacts of surfaces in \(\mathbb R^4\) ⋮ Surfaces of osculating circles in Euclidean space ⋮ Special canal surfaces of \({\mathbb{S}}^{3}\) ⋮ Canal foliations of \(\mathbb S^3\) ⋮ Circles in self dual symmetric \(R\)-spaces ⋮ The geometry of conformal timelike geodesics in the Einstein universe ⋮ Darboux curves on surfaces. II ⋮ Finding a cyclide given three contact conditions

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