Juan Marrero
La Laguna, Tenerife, Canary Islands, Spain
ULL-CSIC Geometría Diferencial y Mecánica Geométrica
Departamento de Matemática Fundamental,
Facultad de Matemáticas, Universidad de La Laguna
Publications:
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García-Naranjo L. C., Marrero J. C.
Non-Existence of an Invariant Measure for a Homogeneous Ellipsoid Rolling on the Plane
2013, vol. 18, no. 4, pp. 372-379
Abstract
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.
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