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Separability preserving Dirac reductions of Poisson pencils on Riemannian manifolds

Maciej Blaszak·Krzysztof Marciniak
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Abstract

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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Maciej Blaszak, Krzysztof Marciniak. 2003-01-17. Separability preserving Dirac reductions of Poisson pencils on Riemannian manifolds. https://doi.org/10.1088/0305-4470%2F36%2F5%2F311

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