Corners in non-equiregular sub-Riemannian manifolds
Optimization and Control
2014-03-11 v1 Analysis of PDEs
Differential Geometry
Metric Geometry
Abstract
We prove that in a class of non-equiregular sub-Riemannian manifolds corners are not length minimizing. This extends the results [4]. As an application of our main result we complete and simplify the analysis in [6], showing that in a 4-dimensional sub-Riemannian structure suggested by Agrachev and Gauthier all length-minimizing curves are smooth.
Cite
@article{arxiv.1403.2356,
title = {Corners in non-equiregular sub-Riemannian manifolds},
author = {Enrico Le Donne and Gian Paolo Leonardi and Roberto Monti and Davide Vittone},
journal= {arXiv preprint arXiv:1403.2356},
year = {2014}
}