Torsions of connections on higher order tangent bundles (Q2769249)
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scientific article; zbMATH DE number 1701145
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Torsions of connections on higher order tangent bundles |
scientific article; zbMATH DE number 1701145 |
Statements
5 February 2002
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natural affinor
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general connection
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torsion
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higher order vector tangent bundle
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0.96305025
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0.94665146
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0.9363859
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Torsions of connections on higher order tangent bundles (English)
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For every natural affinor \(Q\) on a natural bundle \(FM\), the \(Q\)-torsion of a general connection \(\Gamma\) on \(FM\to M\) is defined as the Fröhlicher-Nijenhuis bracket \([Q,\Gamma]\). The authors determine all natural affinors on the \(r\)-th order vector tangent bundle of a manifold \(M\) and deduce some geometric properties of the corresponding torsions.
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