Publication details
Natural connections given by general linear and classical connections
| Authors | |
|---|---|
| Year of publication | 2005 |
| Type | Article in Proceedings |
| Conference | Differential Geometry and its Application |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Gauge-natural bundle; natural operator; linear connection; classical connection; reduction theorem |
| Description | We assume a vector bundle $p:\f E\to \f M$ with a general linear connection $K$ and a classical linear connection $\Lam$ on $\f M$. We prove that all classical linear connections on the total space $\f E$ naturally given by $(\Lam, K)$ form a 15-parameter family. Further we prove that all connections on $J^1\f E$ naturally given by $(\Lam, K)$ form a 14-parameter family. Both families of connections are described geometrically. |
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