Local contact sub-Finslerian geometry for maximum norms in dimension 3 *

A.-L Ali , Grégoire Charlot (1)

1 IF - Institut Fourier

Local geometry of sub-Finslerian structures in dimension 3 associated with a maximum norm are studied in the contact case. A normal form is given. Short extremals, local switching conjugate and cut loci, and small spheres are described in the generic case.

Mots clés: local optimal synthesis; sub-Finslerian geometry; contact distribution

Domaines: Optimisation et contrôle [math.OC]; Géométrie métrique [math.MG]

A.-L Ali, Grégoire Charlot. Local contact sub-Finslerian geometry for maximum norms in dimension 3 *. 2019. ⟨hal-02004281⟩