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math.OC2024★ 4 cited
Sub-Lorentzian extremals defined by an antinorm
A. V. Podobryaev
We consider a left-invariant (sub-)Lorentzian structure on a Lie group. We assume that this structure is defined by a closed convex salient cone in the corresponding Lie algebra an…
math.DG2024★ 2 cited
Existence theorem for sub-Lorentzian problems
L. V. Lokutsievskiy, A. V. Podobryaev
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…