Local approximation of almost-Riemannian structures and Continuation method in the rolling body problem with obstacles

Mardi 28 juin 2022, 14:00 à 15:00

salle de séminaire LMRS

Ronald Manriquez

Doctorant LMRS

The aim of this talk is to show two topics in sub-Riemannian geometry. On the one hand, the local approximation of an almost-Riemannian structure at singular points, where the nilpotent approximation loses the original structure, and on the other hand, the kinematic system of a manifold rolling on another manifold without twisting or slipping, particularly a numerical implementation of the Continuation Method when a 2-dimensional manifold rolling on the Euclidean plane with forbidden regions.