Collective Heavy Top Dynamics

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Author: Ohsawa, T.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210305
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Collective Heavy Top Dynamics / T. Ohsawa // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 17 назв. — англ.

We construct a Poisson map M: T*C² → se(3)* with respect to the canonical Poisson bracket on T*C² ≅ T*ℝ⁴ and the (−)-Lie-Poisson bracket on the dual se(3)* of the Lie algebra of the special Euclidean group SE(3). The essential part of this map is the momentum map associated with the cotangent lift o...