Separability preserving Dirac reductions of Poisson pencils on Riemannian manifolds
نویسنده
چکیده
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. This paper will appear in J. Phys. A: Math. Gen. AMS 2000 Subject Classification: 70H45,70H06,70H20,53D17,70G45
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