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Lorentzian geometry in the Lobachevsky plane Yu. L. Sachkov |
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Abstract: We consider left-invariant Lorentzian problems on the group of proper affine functions on the line. For these problems, the attainability set is described, the existence of optimal trajectories is studied, a parameterization of extremal trajectories is obtained, their optimality is proved, Lorentzian distance and spheres are described. Website: https://us06web.zoom.us/j/84704253405?pwd=M1dBejE1Rmp5SlUvYThvZzM3UnlvZz09 |