Publication details
Natural Poisson and Jacobi structures on the tangent bundle of a pseudo-Riemannian manifold
| Authors | |
|---|---|
| Year of publication | 2001 |
| Type | Article in Proceedings |
| Conference | Global Differential Geometry: The Mathematical Legacy of Alfred Gray |
| MU Faculty or unit | |
| 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 $K$. |
| Related projects: |