Rolling balls and octonions. (English. Russian original) Zbl 1153.70010
Proc. Steklov Inst. Math. 258, 13-22 (2007); translation from Tr. Mat. Inst. Steklova 258, 17-27 (2007).
Summary: In this semi-expository paper we disclose hidden symmetries of a classical nonholonomic kinematic model and try to explain the geometric meaning of basic invariants of vector distributions.
MSC:
| 70F25 | Nonholonomic systems related to the dynamics of a system of particles |
| 70E18 | Motion of a rigid body in contact with a solid surface |
| 70H33 | Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics |
References:
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