A Monge normal form for the rolling distribution

2021/03/03 by Randall, Matthew · 1 citation
#53C18 #58A15 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2103.02360

Abstract

Using a parametrisation of sl₂ given by the second prolongation of the group action of unimodular fractional linear transformations as presented in an article of Clarkson and Olver, we find a Monge normal form describing the rolling of two hyperboloid surfaces over each other.

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• Geometric aspects of rank-3 vector bundles over surfaces and 2-plane distributions on 5-manifolds

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