Publication details
Classification of principal connections on $W^rPE$
| Authors | |
|---|---|
| Year of publication | 2008 |
| Type | Article in Proceedings |
| Conference | Geometric methods in physics |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | natural bundle; gauge-natural bundle; natural operator; pricipal bundle; principal connection |
| Description | We assume a vector bundle $E\to M$ and the principal bundle $PE$ of frames of $E$. Let $K$ be a general linear connection on $E$ and let $\Lambda$ be a linear connection on $M$. We classify all principal connections on $W^rPE= P^rM\times_M J^rPE$ naturally given by $K$ and $\Lambda$. |
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