Collective Heavy Top Dynamics

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...

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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
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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