Rolling balls and Octonions
Abstract
In this semi-expository paper we disclose hidden symmetries of a classical nonholonomic kinematic model and try to explain geometric meaning of basic invariants of vector distributions.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- November 2006
- DOI:
- 10.48550/arXiv.math/0611812
- arXiv:
- arXiv:math/0611812
- Bibcode:
- 2006math.....11812A
- Keywords:
-
- Mathematics - Optimization and Control;
- Mathematics - Differential Geometry