Natural Poisson and Jacobi structures on the tangent bundle of a pseudo-Riemannian manifold
| Autoři | |
|---|---|
| Rok publikování | 2001 |
| Druh | Článek ve sborníku |
| Konference | Global Differential Geometry: The Mathematical Legacy of Alfred Gray |
| Fakulta / Pracoviště MU | |
| Citace | |
| Obor | Obecná matematika |
| Klíčová slova | Poisson structure; Jacobi structure; pseudo-Riemannian manifold |
| Popis | 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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