On Regularity of Abnormal Subriemannian Geodesics
Differential Geometry
2012-08-10 v2 Optimization and Control
Abstract
We prove the smoothness of abnormal minimizers of subriemannian manifolds of step 3 with a nilpotent basis. We prove that rank 2 Carnot groups of step 4 admit no strictly abnormal minimizers. For any subriemannian manifolds of step less than 7, we show all abnormal minimizers have no corner type singularities, which partly generalize the main result of Leonardi-Monti.
Cite
@article{arxiv.1202.4287,
title = {On Regularity of Abnormal Subriemannian Geodesics},
author = {Kanghai Tan and Xiaoping Yang},
journal= {arXiv preprint arXiv:1202.4287},
year = {2012}
}
Comments
This paper has been withdrawn by the author due to a crucial computation error in (F_t^1)_star