R. Langevin

activity

20042014

most citedThe geometry of canal surfaces and the length of curves in de Sitter space

2 citations · 2 across the 6 of their papers we have counts for

collaborators

Showing 2008Show all

2 papers · 1 filter

math.GT2008

Conformal invariance of the writhe of a knot

R. Langevin, J. O'Hara

We give a new proof of an old theorem by Banchoff and White 1975 that claims that the writhe of a knot is conformally invariant.

math.DG2008

Conformal arc-length as $\frac{1}{2}$ dimensional length of the set of osculating circles

Rémi Langevin, Jun O'Hara

The set of osculating circles of a given curve in $\SS^3$ forms a curve in the set of oriented circles in $\SS^3$. We show that its " $\frac{1}{2}$ -dimensional measure" with respect t…

Conformal invariance of the writhe of a knot

Conformal arc-length as 21​ dimensional length of the set of osculating circles

Conformal arc-length as $\frac{1}{2}$ dimensional length of the set of osculating circles