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Displaying similar documents to “Natural lifts of classical linear connections to the cotangent bundle”

Higher order valued reduction theorems for classical connections

Josef Janyška (2005)

Open Mathematics

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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.