Symmetry reduction of discrete Lagrangian mechanics on Lie groups
نویسندگان
چکیده
منابع مشابه
Symmetry Reduction of Discrete Lagrangian Mechanics on Lie Groups
For a discrete mechanical system on a Lie group G determined by a (reduced) Lagrangian l we define a Poisson structure via the pull-back of the Lie-Poisson structure on the dual of the Lie algebra g∗ by the corresponding Legendre transform. The main result shown in this paper is that this structure coincides with the reduction under the symmetry group G of the canonical discrete Lagrange 2-form...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2000
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(00)00018-8