activity
20062025
most citedBicycle paths, elasticae and sub-Riemannian geometry

14 citations · 49 across the 18 of their papers we have counts for

collaborators
Showing 2022Show all

2 papers · 1 filter

math.DG2022★ 1 cited

Bicycling geodesics are Kirchhoff rods

Gil Bor, Connor Jackman, Serge Tabachnikov

A bicycle path is a pair of trajectories in , the `front' and `back' tracks, traced out by the endpoints of a moving line segment of fixed length (the `bicycle frame…

math.DG2022

Chains of path geometries on surfaces: theory and examples

Gil Bor, Travis Willse

We derive the equations of chains for path geometries on surfaces by solving the equivalence problem of a related structure: sub-Riemannian geometry of signature on a conta…