22 citations · 59 across the 32 of their papers we have counts for
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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 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 "-dimensional measure" with respect t…