# 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.

Article:

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

Journal:

Preprint

Year:

2013

URL:

http://arxiv.org/abs/1306.4237