Some multidimensional integrable cases of nonholonomic rigid body dynamics

Abstract

In this paper we study the dynamics of the constrained $n$--dimensional rigid body (the Suslov problem). We give a review of known integrable cases in three dimensions and present their higher dimensional generalizations.

10 pages

References in corpus (3)

• Non-commutative Integrability, Moment Map and Geodesic Flows
• Reduction and Integrability
• On the integrability of geodesic flows of submersion metrics

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• The phenomenon of reversal in the Euler-Poincarè-Suslov nonholonomic systems
• Hirota-Kimura Type Discretization of the Classical Nonholonomic Suslov Problem