Torsion, curvature and deflection \(d\)-tensors on \(J^1(T, M)\) (Q2770040)
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scientific article; zbMATH DE number 1702478
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Torsion, curvature and deflection \(d\)-tensors on \(J^1(T, M)\) |
scientific article; zbMATH DE number 1702478 |
Statements
19 February 2002
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\(l\)-jet fibre bundle
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\(\Gamma\)-linear connection
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nonlinear connection
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torsion and curvature
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deflection \(d\)-tensors
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Torsion, curvature and deflection \(d\)-tensors on \(J^1(T, M)\) (English)
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Some special connections and their torsion and curvature tensors on manifolds of jets are investigated and their components are calculated in coordinates. The coordinate expressions of Olver's prolongation (lifting) of vector fields on \(T\times M\) to \(J^1(T,M)\) are derived as well.
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