Yu. Sachkov, Flat sub-Lorentzian structures on Martinet distribution

Authors: Yu. Sachkov
Abstract:

Two sub-Lorentzian problems on the  Martinet distribution are studied. For the first one, the attainable set has a nontrivial intersection with the Martinet plane, but for the second one it does not. Attainable sets, optimal trajectories, sub-Lorentzian distances and spheres are described.