Аннотация:
In this paper the two-dimensional Lorentzian problem on the anti-de Sitter plane
is studied. Using methods of geometric control theory and differential geometry, we describe
the reachable set, investigate the existence of Lorentzian length maximizers, compute extremal
trajectories, construct an optimal synthesis, characterize Lorentzian distance and spheres, and
describe the Lie algebra of Killing vector fields.
Ключевые слова:
Lorentzian geometry, geometric control theory, optimal control
Список литературы