The outer derivation of a complex Poisson manifold

Details The outer derivation of a complex Poisson manifold The outer derivation of a complex Poisson manifold

1998-02-03

arxiv.org/abs/math/9802014v1

Mathematics

Differential Geometry

plain tex, 9 pages

Scientific paper

We introduce a canonical outer vector field on a Poisson manifold, also due
independently to A. Weinstein. We view it as a global section of the sheaf of
Poisson vector fields modulo the subsheaf of hamiltonian vector fields. We
study this outer derivation mostly in the case of holomorphic Poisson
manifolds.

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