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Higher order reduction theorems for classical connections and natural (0,2)-tensor fields on the cotangent bundle

Josef Janyška
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Abstract

We generalize reduction theorems for classical connections to operators with values in $k$-th order natural bundles. Using the first reduction theorem in order two we classify all (0,2)-tensor fields on the cotangent bundle of a manifold with a linear (non-symmetric) connection.

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Josef Janyška. 2004-05-12. Higher order reduction theorems for classical connections and natural (0,2)-tensor fields on the cotangent bundle. https://arxiv.org/abs/math/0405218

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