3 papers
math.DG2025
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…
math.DG2023
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…
math.DS2021
An introduction to the Kepler-Heisenberg problem
Corey Shanbrom
Here we provide an overview of what is known, and what is not known, about an interesting dynamical system known as the Kepler-Heisenberg problem. The main idea is to pose a versio…