In this survey, we present some recent results on the problem about the regularity of length-minimizing curves in sub-Riemannian geometry. We also sketch the possible application of some ideas coming from Geometric Measure Theory.
@article{8969,
title = {The regularity problem for geodesics of the control distance},
journal = {Bruno Pini Mathematical Analysis Seminar},
year = {2018},
doi = {10.6092/issn.2240-2829/8969},
language = {EN},
url = {http://dml.mathdoc.fr/item/8969}
}
Monti, Roberto. The regularity problem for geodesics of the control distance. Bruno Pini Mathematical Analysis Seminar, (2018), . doi : 10.6092/issn.2240-2829/8969. http://gdmltest.u-ga.fr/item/8969/