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math.DG2013
Normal forms for sub-Lorentzian metrics supported on Engel type distributions
Marek Grochowski
We construct normal forms for Lorentzian metrics on Engel distributions under the assumption that abnormal curves are timelike future directed Hamiltonian geodesics. Then we indica…
math.OC2013
A necessary and sufficient condition for local controllability around closed orbits
Marek Grochowski
In this paper we give a necessary and sufficient condition for local controllability around closed orbits for general smooth control systems. We also prove that any such system on…
math.DG2013★ 2 cited
Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds
Marek Grochowski, Ben Warhurst
In this article we develop some elementary aspects of a theory of symmetry in sub-Lorentzian geometry. First of all we construct invariants characterizing isometric classes of sub-…