Euler-Poisson equations on Lie algebras and the N-dimensional heavy rigid body
AUTOR(ES)
Ratiu, Tudor
RESUMO
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 completely integrable.
ACESSO AO ARTIGO
http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=319122Documentos Relacionados
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