Locally isometric coverings of the Lie group $ \mathrm{SO}_0(2,1)$ with special sub-Riemannian metric
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Publication:2957853
DOI10.1070/SM8598zbMath1365.53037WikidataQ115316542 ScholiaQ115316542MaRDI QIDQ2957853
I. A. Zubareva, Valeriĭ Nikolaevich Berestovskiĭ
Publication date: 30 January 2017
Published in: Sbornik: Mathematics (Search for Journal in Brave)
cut locusgeodesiccovering spaceweakly symmetric spacegeodesic orbit spaceinvariant sub-Riemannian metricshortest arcsconjugate sets
Differential geometry of homogeneous manifolds (53C30) Analysis on real and complex Lie groups (22E30) Sub-Riemannian geometry (53C17)
Related Items (7)
Geodesics and curvatures of special sub-Riemannian metrics on Lie groups ⋮ Left-invariant optimal control problems on Lie groups: classification and problems integrable by elementary functions ⋮ Locally isometric coverings of the Lie group $ \mathrm{SO}_0(2,1)$ with special sub-Riemannian metric ⋮ The geodesics of a sub-Riemannian metric on the group of semiaffine transformations of the Euclidean plane ⋮ Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups ⋮ A note about integrable systems on low-dimensional Lie groups and Lie algebras ⋮ Homogeneous sub-Riemannian geodesics on a group of motions of the plane
Cites Work
- Universal methods of the search of normal geodesics on Lie groups with left-invariant sub-Riemannian metric
- On the differential geometry of tangent bundles of Riemannian manifolds
- On the differential geometry of tangent bundles of Riemannian manifolds. II
- A metric characterization of Riemannian submersions
- (Locally) shortest arcs of a special sub-Riemannian metric on the Lie group $\mathrm {SO}_0(2,1)$
- Locally isometric coverings of the Lie group $ \mathrm{SO}_0(2,1)$ with special sub-Riemannian metric
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