A Note on Pliability and the Openness of the Multiexponential Map in Carnot Groups

Frédéric Jean; Mario Sigalotti; Alessandro Socionovo

doi:10.3842/sigma.2026.078

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arXiv · 2507.13049

A Note on Pliability and the Openness of the Multiexponential Map in Carnot Groups

Frédéric Jean·Mario Sigalotti·Alessandro Socionovo

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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.

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Frédéric Jean, Mario Sigalotti, Alessandro Socionovo. 2026-08-19. A Note on Pliability and the Openness of the Multiexponential Map in Carnot Groups. https://doi.org/10.3842/sigma.2026.078

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