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 | JANYŠKA, Josef. Higher order valued reduction theorems for classical connections. Central European Journal of Mathematics. 2005, vol. 3, No 2, p. 294-308. ISSN 1644-3616. |
| 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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