Natural transformations of affinors into linear forms
Dębecki, Jacek
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Displaying similar documents to “The natural operators transforming affinors to tensor fields of type ”
Natural transformations of affinors into linear forms
Linear liftings of skew-symmetric tensor fields to Weil bundles
Jacek Dębecki (2005)
Czechoslovak Mathematical Journal
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We define equivariant tensors for every non-negative integer and every Weil algebra and establish a one-to-one correspondence between the equivariant tensors and linear natural operators lifting skew-symmetric tensor fields of type on an -dimensional manifold to tensor fields of type on if . Moreover, we determine explicitly the equivariant tensors for the Weil algebras , where and are non-negative integers.
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.
On Martin Bordemann's proof of the existence of projectively equivariant quantizations
Pierre Lecomte (2004)
Open Mathematics
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The paper explains the notion of projectively equivariant quantization. It gives a sketch of Martin Bordemann's proof of the existence of projectively equivariant quantization on arbitrary manifolds.