Название: Existence Theorem for Sub-Lorentzian Problems
Авторы: L.V. Lokutsievskiy, A.V. Podobryaev
Журнал: Journal of Dynamical and Control Systems
Год: 2024
Номер: 10
Том: 30
Образец цитирования:
L.V.Lokutsievskiy, A.V.Podobryaev. Existence Theorem for Sub-Lorentzian Problems // Journal of Dynamical and Control Systems. 30, 10 (2024)
Аннотация:
In this paper, we prove the existence theorem for longest paths in sub-Lorentzian problems, which generalizes the classical theorem for globally hyperbolic Lorentzian manifolds. We specifically address the case of invariant structures on homogeneous spaces, as the conditions
for the existence theorem in this case can be significantly simplified. In particular, it turns out that longest paths exist for any left-invariant sub-Lorentzian structures on Carnot groups.
ArXiv ID: 2401.07975