A Note about Integrable Systems on Low-dimensional Lie Groups and Lie Algebras
Author:
Publisher
Pleiades Publishing Ltd
Subject
Mathematics (miscellaneous)
Link
http://link.springer.com/content/pdf/10.1134/S156035471903002X.pdf
Reference29 articles.
1. Grad. Texts in Math.;V I Arnol’d,1989
2. Barrett, D., Biggs, R., Remsing, C., and Rossi, O., Invariant Non-Holonomic Riemannian Structures on Three-Dimensional Lie Groups, J. Geom. Mech., 2016, vol. 8, no. 2, pp. 139–167.
3. Berestovskii, V. N. and Zubareva, I. A., Locally Isometric Coverings of the Lie Group SO 0(2, 1) with Special Sub-Riemannian Metric, Sb. Math., 2016, vol. 207, nos. 9–10, pp. 1215–1235; see also: Mat. Sb., 2016, vol. 207, no. 9, pp. 35–56.
4. Beschastnyi, I. Yu. and Sachkov, Yu. L., Geodesics in the Sub-Riemannian Problem on the Group SO(3), Sb. Math., 2016, vol. 207, nos. 7–8, pp. 915–941; see also: Mat. Sb., 2016, vol. 207, no. 7, pp. 29–56.
5. Bizyaev, I. A., Borisov, A. V., Kilin, A. A., and Mamaev, I. S., Integrability and Nonintegrability of Sub-Riemannian Geodesic Flows on Carnot Groups, Regul. Chaotic Dyn., 2016, vol. 21, no. 6, pp. 759–774.
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