A note on pliability and the openness of the multiexponential map in Carnot groups
Metric Geometry
2026-03-06 v3 Optimization and Control
Abstract
In recent years, several notions of non-rigidity of horizontal vectors in Carnot groups have been proposed, motivated, in particular, by the characterization of monotone sets and Whitney extension properties. In this note we compare some of these notions.
Cite
@article{arxiv.2507.13049,
title = {A note on pliability and the openness of the multiexponential map in Carnot groups},
author = {Frédéric Jean and Mario Sigalotti and Alessandro Socionovo},
journal= {arXiv preprint arXiv:2507.13049},
year = {2026}
}