Название: Lorentzian Anti-de Sitter Plane

Авторы: A.Z. Ali, Yu.L. Sachkov

Журнал: Regular and Chaotic Dynamics

Год: 2025

Номер: 4

Том: 30

Страницы: 504–537

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.

Файл: Download