3 papers
math.DG2024
Controllability on landmark manifolds for shapes and neural ODEs
Erlend Grong, Sylvie Vega-Molino
Landmark manifolds consist of a collection of distinct points, and dynamics on this manifold can be used to represent flows, such as solutions of ODEs and flows deforming a shape.…
math.DG2023
The Prytz connections
Geir Bogfjellmo, Charles Curry, Sylvie Vega-Molino
The Prytz planimeter is a simple mechanical device that historically was used to approximate areas of plane regions. In this article, we present a mathematical description and anal…
math.DG2022
Local Invariants and Geometry of the sub-Laplacian on H-type Foliations
Wolfram Bauer, Irina Markina, Abdellah Laaroussi +1
-type foliations are studied in the framework of sub-Riemannian geometry with bracket generating distribution defined as the bundle tr…