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arxiv: math/0303022 · v1 · submitted 2003-03-03 · 🧮 math.DS · math.SG

Singular reduction of implicit Hamiltonian systems

classification 🧮 math.DS math.SG
keywords hamiltoniansystemsimplicitreductionsingularadmittingbracketsdescribed
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This paper develops the reduction theory of implicit Hamiltonian systems admitting a symmetry group at a singular value of the momentum map. The results naturally extend those known for (explicit) Hamiltonian systems described by Poisson brackets.

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