Reduction theorem for general connections
| Authors | |
|---|---|
| Year of publication | 2011 |
| Type | Article in Periodical |
| Magazine / Source | Annales Polonici Mathematici |
| MU Faculty or unit | |
| Citation | |
| Web | http://journals.impan.gov.pl/ap/Inf/102-3-4.html |
| Doi | http://dx.doi.org/10.4064/ap102-3-4 |
| Field | General mathematics |
| Keywords | General connection; classical connection; natural bundle; natural operator; covariant derivative; general covariant derivative; reduction theorem; orbit reduction theorem |
| Attached files | |
| Description | We prove the (first) reduction theorem for general and classical connections, i.e. we prove that any natural operator of a general connection on a fibered manifold and a classical connection on the base manifold can be expressed as a zero order operator of the curvature tensors of both connections and their convenient derivatives. |
| Related projects: |