14 citations · 49 across the 18 of their papers we have counts for
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math.DG2020★ 14 cited
Bicycle paths, elasticae and sub-Riemannian geometry
Andrey Ardentov, Gil Bor, Enrico Le Donne +2
We relate the sub-Riemannian geometry on the group of rigid motions of the plane to `bicycling mathematics'. We show that this geometry's geodesics correspond to bike paths whose f…
math.DG2020
Self-Bäcklund curves in centroaffine geometry and Lamé's equation
Misha Bialy, Gil Bor, Serge Tabachnikov
Twenty five years ago U. Pinkall discovered that the Korteweg-de Vries equation can be realized as an evolution of curves in centoraffine geometry. Since then, a number of authors…
math.DG2020★ 6 cited
Para-Kähler-Einstein 4-manifolds and non-integrable twistor distributions
Gil Bor, Omid Makhmali, Paweł Nurowski
We study the local geometry of 4-manifolds equipped with a \emph{para-Kähler-Einstein} (pKE) metric, a special type of split-signature pseudo-Riemannian metric, and their associate…