Complete Integrability for Piecewise-Smooth Distributions
Differential Geometry
2026-07-02 v1 Optimization and Control
Abstract
Two generalizations of the Frobenius integrability theorem are proved concerning distributions which are piecewise-C1 but may fail to be continuous. The criteria presented are sufficient, but not necessary, for complete integrability of such distributions with bi-Lipschitz coordinates.
Cite
@article{arxiv.2607.01569,
title = {Complete Integrability for Piecewise-Smooth Distributions},
author = {Jack McKee},
journal= {arXiv preprint arXiv:2607.01569},
year = {2026}
}
Comments
7 pages, 1 figure