Natural Poisson and Jacobi structures on the tangent bundle of a pseudo-Riemannian manifold

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Authors

JANYŠKA Josef

Year of publication 2001
Type Article in Proceedings
Conference Global Differential Geometry: The Mathematical Legacy of Alfred Gray
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Poisson structure; Jacobi structure; pseudo-Riemannian manifold
Description Let $M$ be a differentiable manifold with a pseudo-Riemannian metric $g$ and a linear symmetric connection $K$. We deduce conditions to define Poisson or Jacobi structures on $TM$ for all vector fields and 2-vector fields naturally induced on $TM$ by $g$ and $K$.
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