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      Singular reduction of implicit Hamiltonian systems

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          Abstract

          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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          Author and article information

          Journal
          03 March 2003
          Article
          10.1016/S0034-4877(04)90013-4
          math/0303022
          e537efca-2e7d-4144-9191-7b096addae4f
          History
          Custom metadata
          2003PP041
          29 pages, no figures, submitted
          math.DS math.SG

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