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- W1525101827 abstract "A left-invariant sub-Riemannian metric $d$ on the shortened Lorentz group $SO_0(2,1)$ under the condition that $d$ is right-invariant relative to the orthogonal Lie subgroup $1otimes SO(2)$ is studied. The distance between arbitrary two elements, the cut locus (as the union of the subgroup $1otimes SO(2)$ with the antipodal set to the submanifold of symmetric matrices in the open solid torus $SO_0(2,1)$), and the conjugate set for the unit are found for $(SO_0(2,1),d)$." @default.
- W1525101827 created "2016-06-24" @default.
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- W1525101827 date "2015-07-20" @default.
- W1525101827 modified "2023-10-06" @default.
- W1525101827 title "Sub-Riemannian distance on the Lie group $SO_0(2,1)$" @default.
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- W1525101827 doi "https://doi.org/10.48550/arxiv.1507.05554" @default.
- W1525101827 hasPublicationYear "2015" @default.
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