5 papers
A Note on Pliability and the Openness of the Multiexponential Map in Carnot Groups
Frédéric Jean, Mario Sigalotti, Alessandro Socionovo
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…
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].
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…
Inverse optimal control problem in the non autonomous linear-quadratic case
Frédéric Jean, Sofya Maslovskaya
Inverse optimal control problem emerges in different practical applications, where the goal is to design a cost function in order to approximate given optimal strategies of an expe…
Horizontal holonomy and foliated manifolds
Y. Chitour, E. Grong, F. Jean +1
We introduce horizontal holonomy groups, which are groups defined using parallel transport only along curves tangent to a given subbundle of the tangent bundle. We provide expl…