A dynamical approach to the Sard problem in Carnot groups

DOI10.1016/j.jde.2020.03.050zbMath1440.53035arXiv1908.11120OpenAlexW3014142837MaRDI QIDQ2184707

Francesco Boarotto, Davide Vittone

Publication date: 29 May 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11120

zbMATH Keywords

Carnot groupssingular curvesSard problem

Mathematics Subject Classification ID

Dynamical systems in control (37N35) Critical points of functions and mappings on manifolds (58K05) Sub-Riemannian geometry (53C17)

Related Items (5)

The Sard problem in step 2 and in filiform Carnot groups, ⋮ Abnormal trajectories in the sub-Riemannian \((2,3,5,8)\) problem ⋮ Subdifferentials and minimizing Sard conjecture in sub-Riemannian geometry ⋮ ODE trajectories as abnormal curves in Carnot groups ⋮ An abnormal set for the \((2,3,5,8)\)-distribution

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