Hypergenerated Carnot groups
Metric Geometry
2025-04-01 v1 Differential Geometry
Group Theory
Abstract
In this paper we provide an algebraic characterization of those stratified groups in which boundaries with locally constant normal are locally flat. We show that these groups, which we call hypergenerated, are exactly the stratified groups where embeddings of non-characteristic hypersurfaces are locally bi-Lipschitz. Finally, we extend these results to submanifolds of arbitrary codimension.
Keywords
Cite
@article{arxiv.2503.24161,
title = {Hypergenerated Carnot groups},
author = {Enrico Le Donne and Luca Nalon and Nicola Paddeu and Simone Verzellesi},
journal= {arXiv preprint arXiv:2503.24161},
year = {2025}
}
Comments
22 pages