Higher order valued reduction theorems for classical connections
| Authors | |
|---|---|
| Year of publication | 2005 |
| Type | Article in Periodical |
| Magazine / Source | Central European Journal of Mathematics |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.cesj.com |
| Field | General mathematics |
| Keywords | natural bundle; natural operator; classical connection; reduction theorem |
| Description | We generalize reduction theorems for classical connections to operators with values in $k$-th order natural bundles. Using the 2nd order valued reduction theorems we classify all (0,2)-tensor fields on the cotangent bundle of a manifold with a linear (non-symmetric) connection. |
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