Abstract
We discuss contravariant connections on Poisson manifolds. For vector bundles, the corresponding operational notion of a contravariant derivative had been introduced by I. Vaisman. We show that these connections play an important role in the study of global properties of Poisson manifolds and we use them to define Poisson holonomy and new invariants of Poisson manifolds.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 303-365 |
| Number of pages | 63 |
| Journal | Journal of Differential Geometry |
| Volume | 54 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2000 |
| Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Geometry and Topology