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Rolling balls and octonions
Authors:A. A. Agrachev
Affiliation:(1) SISSA/ISAS, via Beirut 4, 34014 Trieste, Italy;(2) Steklov Institute of Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia
Abstract:In this semi-expository paper we disclose hidden symmetries of a classical nonholonomic kinematic model and try to explain the geometric meaning of the basic invariants of vector distributions. Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Vol. 258, pp. 17–27.
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