Collective Heavy Top Dynamics

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2019
• 1. Verfasser: Ohsawa, T.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2019
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210305
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...