Geodesic
The Lorentzian Problem on 2-Dimensional de Sitter Space
Russian journal of nonlinear dynamics, Tome 20 (2024) no. 4, pp. 619-633

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This paper considers the Lorentzian optimal control problem on two-dimensional de Sitter space. Normal and abnormal optimal trajectories are studied using the Pontryagin maximum principle. Attainable sets, spheres and distance in the Lorentzian metric are computed. Killing vector fields and isometries are described.
Keywords: Lorentzian geometry, de Sitter space, optimal control 
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V. S. Petukhov; Yu. L. Sachkov. The Lorentzian Problem on 2-Dimensional de Sitter Space. Russian journal of nonlinear dynamics, Tome 20 (2024) no. 4, pp. 619-633. http://geodesic.mathdoc.fr/item/ND_2024_20_4_a11/