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/