Euler-Poisson equations on Lie algebras and the N-dimensional heavy rigid body.
نویسنده
چکیده
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.
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ورودعنوان ژورنال:
- Proceedings of the National Academy of Sciences of the United States of America
دوره 78 3 شماره
صفحات -
تاریخ انتشار 1981