Separability preserving Dirac reductions of Poisson pencils on Riemannian manifolds

Details Separability preserving Dirac reductions of Poisson pencils on Riemannian manifolds Separability preserving Dirac reductions of Poisson pencils on Riemannian manifolds

2003-01-17

arxiv.org/abs/nlin/0301020v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.1088/0305-4470/36/5/311

Dirac deformation of Poisson operators of arbitrary rank is considered. The
question when Dirac reduction does not destroy linear Poisson pencils is
studied. A class of separability preserving Dirac reductions in the
corresponding quasi-bi-Hamiltonian systems of Benenti type is discussed. Two
examples of such reductions are given.

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