Sard's conjecture for degenerate Engel
Dynamical Systems
2018-05-10 v1
Abstract
Let D be a rank 2 bracket generating distribution on a 4 manifold, D is Engel if its growth vector is maximal. When this maximality fails the distribution is degenerate. We prove Sard's conjecture for the endpoint map in the case of degenerate Engel distributions. In this case the set of singular horizontal curves starting from the same point has measure zero: a full 2 dimensional disk.
Keywords
Cite
@article{arxiv.1805.03424,
title = {Sard's conjecture for degenerate Engel},
author = {Andres Perico},
journal= {arXiv preprint arXiv:1805.03424},
year = {2018}
}