7 citations · 37 across the 15 of their papers we have counts for
6 papers · 1 filter
The small growth invariants of Goursat distributions
Susan Jane Colley, Gary Kennedy, Corey Shanbrom
This is the second of a pair of papers devoted to the local invariants of Goursat distributions. The study of these distributions naturally leads to a tower of spaces over an arbit…
The structural invariants of Goursat distributions
Susan Jane Colley, Gary Kennedy, Corey Shanbrom
This is the first of a pair of papers devoted to the local invariants of Goursat distributions. The study of these distributions naturally leads to a tower of spaces over an arbitr…
Length spectra of sub-Riemannian metrics on compact Lie groups
András Domokos, Matthew Krauel, Vincent Pigno +2
Length spectra for Riemannian metrics are well studied, while sub-Riemannian length spectra have been largely unexplored. Here we give the length spectrum for a canonical sub-Riema…
Complete spelling rules for the Monster tower over three-space
Alex L Castro, Wyatt Howard, Corey Shanbrom
The Monster tower, also known as the Semple tower, is a sequence of manifolds with distributions of interest to both differential and algebraic geometers. Each manifold is a projec…
Bridges Between Subriemannian Geometry and Algebraic Geometry
Alex L Castro, Wyatt Howard, Corey Shanbrom
We consider how the problem of determining normal forms for a specific class of nonholonomic systems leads to various interesting and concrete bridges between two apparently unrela…
The Puiseux Characteristic of a Goursat Germ
Corey Shanbrom
Germs of Goursat distributions can be classified according to a geometric coding called an RVT code. Jean (1996) and Mormul (2004) have shown that this coding carries precisely the…