3 papers
math.MG2026
A Note on Pliability and the Openness of the Multiexponential Map in Carnot Groups
Frédéric Jean, Frédéric Jean, Mario Sigalotti +1
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 W…
math.FA2025
Solution of the Ovals problem
Yacine Chitour, Jochen Denzler, Frédéric Jean +1
In this paper, we bring a complete solution to the Ovals problem, as formulated in [3] and [24].
math.DG2025
Not all sub-Riemannian minimizing geodesics are smooth
Yacine Chitour, Frédéric Jean, Roberto Monti +4
A longstanding open question in sub-Riemannian geometry is the following: are sub-Riemannian length minimizers smooth? We give a negative answer to this question, exhibiting an exa…