摘要: In this semi-expository paper we disclose hidden symmetries of a classical nonholonomic kinematic model and try to explain the geometric meaning basic invariants vector distributions.
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Andrei Agrachev, Igor Zelenko, NUROWSKI'S CONFORMAL STRUCTURES FOR (2,5)-DISTRIBUTIONS VIA DYNAMICS OF ABNORMAL EXTREMALS(Developments of Cartan Geometry and Related Mathematical Problems) 数理解析研究所講究録. ,vol. 1502, pp. 204- 218 ,(2006)
Tonny Albert Springer, Ferdinand D Veldkamp, Octonions, Jordan Algebras and Exceptional Groups ,(2000)
A.A. Agrachev, Feedback-Invariant Optimal Control Theory and Differential Geometry, II. Jacobi Curves for Singular Extremals Journal of Dynamical and Control Systems. ,vol. 4, pp. 583- 604 ,(1998) , 10.1023/A:1021871218615
Velimir Jurdjevic, Geometric control theory ,(1996)
Robert B. Gardner, The Method of Equivalence and Its Applications ,(1989)
Yuri L. Sachkov, Andrei A. Agrachev, Control Theory from the Geometric Viewpoint ,(2004)
Richard Montgomery, A Tour of Subriemannian Geometries, Their Geodesics and Applications Mathematical Surveys and Monographs. ,vol. 91, ,(2006) , 10.1090/SURV/091
Paweł Nurowski, Differential equations and conformal structures Journal of Geometry and Physics. ,vol. 55, pp. 19- 49 ,(2005) , 10.1016/J.GEOMPHYS.2004.11.006
Robert L. Bryant, Lucas Hsu, Rigidity of integral curves of rank 2 distributions. Inventiones Mathematicae. ,vol. 114, pp. 435- 461 ,(1993) , 10.1007/BF01232676
A. A. Agrachev, I. Zelenko, Geometry of Jacobi Curves. I Journal of Dynamical and Control Systems. ,vol. 8, pp. 93- 140 ,(2002) , 10.1023/A:1013904801414