A dynamical approach to the Sard problem in Carnot groups
Differential Geometry
2019-08-30 v1 Optimization and Control
Abstract
We introduce a dynamical-systems approach for the study of the Sard problem in sub-Riemannian Carnot groups. We show that singular curves can be obtained by concatenating trajectories of suitable dynamical systems. As an applications, we positively answer the Sard problem in some classes of Carnot groups.
Keywords
Cite
@article{arxiv.1908.11120,
title = {A dynamical approach to the Sard problem in Carnot groups},
author = {Francesco Boarotto and Davide Vittone},
journal= {arXiv preprint arXiv:1908.11120},
year = {2019}
}