On the regularity of abnormal minimizers for rank $2$ sub-Riemannian structures
Optimization and Control
2018-12-05 v2 Differential Geometry
Abstract
We prove the regularity for a class of abnormal length-minimizers in rank sub-Riemannian structures. As a consequence of our result, all length-minimizers for rank sub-Riemannian structures of step up to are of class .
Cite
@article{arxiv.1804.00971,
title = {On the regularity of abnormal minimizers for rank $2$ sub-Riemannian structures},
author = {Davide Barilari and Yacine Chitour and Frédéric Jean and Dario Prandi and Mario Sigalotti},
journal= {arXiv preprint arXiv:1804.00971},
year = {2018}
}
Comments
20 pages, v2 minor corrections, to appear on J. Math. Pures Appl