Local geometry of bihamiltonian structures and invariant volume forms [PDF]
Anton IzosimovLet P and Q be a generic pair of compatible Poisson tensors on an odd-dimensional manifold. We show that P and Q can be simultaneously locally brought to a constant form if and only if there exists a volume form which is preserved by all P-Hamiltonian vector fields and all Q-Hamiltonian vector fields.View original: http://arxiv.org/abs/1302.2931
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