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A Lecture on Poisson—Nijenhuis Structures

  • Izu Vaisman
Part of the Progress in Mathematics book series (PM, volume 145)

Abstract

This is an expository paper. In it, the Poisson—Nijenhuis structures are motivated and defined in the general algebraic framework of Gel’fand and Dorfman. Then, in the particular case of Lie algebroids and differentiable manifolds, the Poisson—Nijenhuis structures are related to the notion of a complementary 2-form, that has been introduced and studied by the author in [20], and several examples of complementary forms and Poisson—Nijenhuis manifolds are given.

Keywords

Symplectic Manifold Poisson Structure Hamiltonian Structure Poisson Manifold Poisson Bivector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 1997

Authors and Affiliations

  • Izu Vaisman
    • 1
  1. 1.Department of Mathematics and Computer ScienceUniversity of HaifaIsrael

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