Canonical connections on \(k\)-symplectic manifolds under reduction. (English) Zbl 1212.53050
Summary: The construction of a canonical connection on a \(k\)-symplectic manifold is reviewed and sufficient conditions such that it is preserved when performing a Marsden-Weinstein reduction are given.
MSC:
| 53C15 | General geometric structures on manifolds (almost complex, almost product structures, etc.) |
| 53D05 | Symplectic manifolds (general theory) |
