A note on pliability and the openness of the multiexponential map in Carnot groups

Fuente: arXiv
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Main Authors: Jean, Frédéric, Sigalotti, Mario, Socionovo, Alessandro
Format: Preprint
Published: 2025
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author Jean, Frédéric
Sigalotti, Mario
Socionovo, Alessandro
author_facet Jean, Frédéric
Sigalotti, Mario
Socionovo, Alessandro
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_13049
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A note on pliability and the openness of the multiexponential map in Carnot groups
Jean, Frédéric
Sigalotti, Mario
Socionovo, Alessandro
Metric Geometry
Optimization and Control
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.
title A note on pliability and the openness of the multiexponential map in Carnot groups
topic Metric Geometry
Optimization and Control
url https://arxiv.org/abs/2507.13049