1306.4237 (Luis C. García-Naranjo et al.)

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

Luis C. García-Naranjo, Juan C. Marrero

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.

View original: http://arxiv.org/abs/1306.4237