Euler-Poisson equations on Lie algebras and the N-dimensional heavy rigid body
The classical Euler-Poisson equations describing the motion of a heavy rigid body about a fixed point are generalized to arbitrary Lie algebras as Hamiltonian systems on coad-joint orbits of a tangent bundle Lie group. the N-dimensional Lagrange and symmetric heavy top are thereby shown to be comple...
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| Udgivet i: | Proc Natl Acad Sci U S A |
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| Hovedforfatter: | |
| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
National Academy of Sciences
1981
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| Fag: | |
| Online adgang: | https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC319122/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592990/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.78.3.1327 |
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