Abstract
An interesting feature of the Poisson manifolds is the existence of a contravariant version of the differential calculus of forms, and we develop this calculus here. It is based on the possibility to extend the Poisson bracket to 1-forms, as it was discovered by several authors independently [GD], [MM], etc. (See more references in [KSM2].) We shall denote by ΛκM the space of differential forms of degree κ on a differentiable manifold M.
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© 1994 Springer Basel AG
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Vaisman, I. (1994). Poisson Calculus. In: Lectures on the Geometry of Poisson Manifolds. Progress in Mathematics, vol 118. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8495-2_5
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DOI: https://doi.org/10.1007/978-3-0348-8495-2_5
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9649-8
Online ISBN: 978-3-0348-8495-2
eBook Packages: Springer Book Archive