• Title of article

    Poisson-Nijenhuis structures on oriented 3D-Manifolds

  • Author/Authors

    Chen، نويسنده , , Bo and Sheng، نويسنده , , Yunhe، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2008
  • Pages
    20
  • From page
    361
  • To page
    380
  • Abstract
    We provide necessary and sufficient conditions on a (l,l)-tensor N on an oriented 3D-Poisson manifold (M, Ω, π) such that (M, π, N) is a Poisson-Nijenhuis manifold. We give a scheme for obtaining Poisson-Nijenhuis structures and also give some examples on ℝ3 and the Poisson Lie group SU (2) as an application.
  • Keywords
    linear Poisson structures , quadratic Poisson structures , Poisson Lie group , Poisson-Nijenhuis structures
  • Journal title
    Reports on Mathematical Physics
  • Serial Year
    2008
  • Journal title
    Reports on Mathematical Physics
  • Record number

    1585868