Email this article Sub-Riemannian distance on the Lie group SL(2)
- Authors: Berestovskiĭ V.N.1, Zubareva I.A.2
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Affiliations:
- Sobolev Institute of Mathematics
- Sobolev Institute of Mathematics, Omsk Branch
- Issue: Vol 58, No 1 (2017)
- Pages: 16-27
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/170908
- DOI: https://doi.org/10.1134/S0037446617010037
- ID: 170908
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Abstract
We find the distances between arbitrary elements of the Lie group SL(2) for the left invariant sub-Riemannian metric also invariant with respect to the right shifts by elements of the Lie subgroup SO(2) ⊂ SL(2), in other words, the invariant sub-Riemannian metric on the weakly symmetric space (SL(2) × SO(2))/ SO(2) of Selberg.
About the authors
V. N. Berestovskiĭ
Sobolev Institute of Mathematics
Author for correspondence.
Email: vberestov@inbox.ru
Russian Federation, Novosibirsk
I. A. Zubareva
Sobolev Institute of Mathematics, Omsk Branch
Email: vberestov@inbox.ru
Russian Federation, Omsk
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