Sub-Lorentzian geometry on the Martinet distribution

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Abstract

Two problems of sub-Lorentzian geometry on the Martinet distribution are studied. For the first, the reachability set has a nontrivial intersection with the Martinet plane, but for the second it does not. Reachable sets, optimal trajectories, sub-Lorentzian distances and spheres are described.

About the authors

Yu. L. Sachkov

A.K. Ailamazyan Program Systems Institute of the Russian Academy of Sciences

Author for correspondence.
Email: yusachkov@gmail.com
Russian Federation

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