Geodesic
The Sub-Riemannian Curvature of Curves in the Borel Subgroup of the Group $\mathrm{SL}(2,\mathbb R)$
Matematičeskie zametki, Tome 104 (2018) no. 5, pp. 796-800 Cet article a éte moissonné depuis la source Math-Net.Ru

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Keywords: special linear group, sub-Riemannian structure, Riemann approximation, sub-Riemannian curvature. 
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M. V. Tryamkin. The Sub-Riemannian Curvature of Curves in the Borel Subgroup of the Group $\mathrm{SL}(2,\mathbb R)$. Matematičeskie zametki, Tome 104 (2018) no. 5, pp. 796-800. http://geodesic.mathdoc.fr/item/MZM_2018_104_5_a19/

[1] A. Agrachev, D. Barilari, L. Rizzi, Curvature: A Variational Approach, 2015, arXiv: 1306.5318

[2] M. Gromov, Carnot-Carathéodory Spaces Seen From Within, Birkhäuser Verlag, Basel, 1996 | MR

[3] S. D. Pauls, Geom. Dedicata, 104 (2004), 201–231 | MR | Zbl

[4] L. Capogna, D. Danielli, S. D. Pauls, J. T. Tyson, An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem, Birkhäuser Verlag, Basel, 2007 | MR | Zbl

[5] G. Citti, M. Manfredini, Potential Anal., 25:2 (2006), 147–164 | MR | Zbl

[6] Z. M. Balogh, J. T. Tyson, E. Vecchi, Math. Z., 287:1-2 (2017), 1–38 | MR | Zbl

[7] A. Agrachev, D. Barilari, J. Dynam. Control Systems, 18:1 (2012), 21–44 | MR | Zbl

[8] J. M. Lee, Riemannian Manifolds: An Introduction to Curvature, Springer, New York, 1997 | MR | Zbl