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Non-existence of an invariant measure for a homogeneous ellipsoid rolling on the plane

It is known that the reduced equations for an axially symmetric homogeneous ellipsoid that rolls without slipping on the plane possess a smooth invariant measure. We show that such an invariant measure does not exist in the case when all of the semi-axes of the ellipsoid have different length.

preprint2013arXivOpen access
Luis C. García-NaranjoJuan C. Marrero
math-phmath.MP
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Luis C. García-NaranjoJuan C. Marrero

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