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Hyperbolic Actions of Rp on Poisson Manifolds

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Symplectic Geometry, Groupoids, and Integrable Systems

Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 20))

Abstract

Unless otherwise explicitly stated all manifolds and mappings are C ∞ Recall that a Poisson manifold ([W]) is a manifold V with a Lie algebra structure (f,g) ↦ {f,g} on C ∞(V) (the set of C ∞ mappings f: V → R) such that

$$\{ f,gh\} = \{ f,g\} h + g\{ f,h\}$$

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References

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Author information

Authors and Affiliations

  1. Getodim URA 1407-GDR 144, Mathématiques-Université Montpellier II, Pl. E. Bataillon, 34095, Montpellier Cedex 05, France

    Jean-Paul Dufour

Authors
  1. Jean-Paul Dufour
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Editor information

Editors and Affiliations

  1. Département de Mathématiques, Université Lyon I, 43 Boulevard du Novembre 1918, 69622, Villeurbanne Cedex, France

    Pierre Dazord

  2. Department of Mathematics, University of California, 94720, Berkeley, CA, USA

    Alan Weinstein

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© 1991 Springer-Verlag New York, Inc.

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Dufour, JP. (1991). Hyperbolic Actions of Rp on Poisson Manifolds. In: Dazord, P., Weinstein, A. (eds) Symplectic Geometry, Groupoids, and Integrable Systems. Mathematical Sciences Research Institute Publications, vol 20. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9719-9_8

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  • DOI: https://doi.org/10.1007/978-1-4613-9719-9_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9721-2

  • Online ISBN: 978-1-4613-9719-9

  • eBook Packages: Springer Book Archive

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