Non-minimality of corners in subriemannian geometry
Differential Geometry
2016-12-21 v2 Metric Geometry
Optimization and Control
Abstract
We give a short solution to one of the main open problems in subriemannian geometry. Namely, we prove that length minimizers do not have corner-type singularities. With this result we solve Problem II of Agrachev's list, and provide the first general result toward the 30-year-old open problem of regularity of subriemannian geodesics.
Keywords
Cite
@article{arxiv.1509.05578,
title = {Non-minimality of corners in subriemannian geometry},
author = {Eero Hakavuori and Enrico Le Donne},
journal= {arXiv preprint arXiv:1509.05578},
year = {2016}
}
Comments
11 pages, final version