A Stefan-Sussmann theorem for normal distributions on manifolds with boundary
Differential Geometry
2021-09-13 v1
Abstract
An analogue of the Stefan-Sussmann Theorem on manifolds with boundary is proven for normal distributions. These distributions contain vectors transverse to the boundary along its entirety. Plain integral manifolds are not enough to "integrate" a normal distribution; the next best "integrals" are so-called neat integral manifolds with boundary. The conditions on the distribution for this integrability is expressed in terms of adapted collars and integrability of a pulled-back distribution on the interior and on the boundary.
Keywords
Cite
@article{arxiv.2109.04845,
title = {A Stefan-Sussmann theorem for normal distributions on manifolds with boundary},
author = {David Perrella and David Pfefferlé and Luchezar Stoyanov},
journal= {arXiv preprint arXiv:2109.04845},
year = {2021}
}
Comments
12 pages, 1 diagram