A Note on Pliability and the Openness of the Multiexponential Map in Carnot Groups
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.
Authors
- Alessandro Socionovo
- Frédéric Jean (ORCID: https://orcid.org/0000-0001-8170-076X)
- Mario Sigalotti (ORCID: https://orcid.org/0000-0002-9013-1076)
Institutions
- Université Paris Cité (FR)
- Sorbonne Université (FR)
- Centre de Mathématiques Appliquées de l'École polytechnique (FR)
- Laboratoire d'Optique Appliquée (FR)
- Institut Polytechnique de Paris (FR)
- Laboratoire Jacques-Louis Lions (FR)
Publication Details
- Journal
- Symmetry Integrability and Geometry Methods and Applications
- Published
- 2026-08-19
- DOI
- https://doi.org/10.3842/sigma.2026.078
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- European Commission
- Fondation Mathématique Jacques Hadamard