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@article{TRSPY_2007_258_a2, author = {A. A. Agrachev}, title = {Rolling {Balls} and {Octonions}}, journal = {Informatics and Automation}, pages = {17--27}, publisher = {mathdoc}, volume = {258}, year = {2007}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/TRSPY_2007_258_a2/} }
A. A. Agrachev. Rolling Balls and Octonions. Informatics and Automation, Analysis and singularities. Part 1, Tome 258 (2007), pp. 17-27. http://geodesic.mathdoc.fr/item/TRSPY_2007_258_a2/
[1] Agrachev A.A., “Feedback-invariant optimal control theory and differential geometry. II: Jacobi curves for singular extremals”, J. Dyn. and Control Syst., 4:4 (1998), 583–604 | DOI | MR | Zbl
[2] Agrachev A.A., Sachkov Yu.L., Geometricheskaya teoriya upravleniya, Fizmatlit, M., 2004, 392 pp. | Zbl
[3] Agrachev A.A., Zelenko I., “Geometry of Jacobi curves. I, II”, J. Dyn. and Control Syst., 8:1 (2002), 93–140 ; 2, 167–215 | DOI | MR | Zbl | MR | Zbl
[4] Agrachev A., Zelenko I., “Nurowski's conformal structures for (2,5)-distributions via dynamics of abnormal extremals”, Developments of Cartan geometry and related mathematical problems, Proc. RIMS Symp. (Kyoto, 2005), Kyoto Univ., Kyoto, 2006, 204–218
[5] Bryant R., Hsu L., “Rigidity of integral curves of rank 2 distributions”, Invent. math., 114:2 (1993), 435–461 | DOI | MR | Zbl
[6] Cartan E., “Les systèmes de Pfaff à cinq variables et les équations aux dérivées partielles du second ordre”, Ann. Sci. Ecole Norm. Super. Sér. 3, 27 (1910), 109–192 | MR | Zbl
[7] Gardner R.B., The method of equivalence and its applications, SIAM, Philadelphia, PA, 1989, viii+127 pp. | MR
[8] Montgomery R., A tour of subriemannian geometries, their geodesics and applications, Amer. Math. Soc., Providence, RI, 2002, xx+259 pp. | MR
[9] Nurowski P., “Differential equations and conformal structures”, J. Geom. and Phys., 55 (2005), 19–49 | DOI | MR | Zbl
[10] Springer T.A., Veldkamp F.D., Octonions, Jordan algebras and exceptional groups, Springer, Berlin, 2000, viii+208 pp. | MR | Zbl
[11] Zelenko I., “On variational approach to differential invariants of rank two distributions”, Diff. Geom. and Appl., 24:3 (2006), 235–259 | DOI | MR | Zbl