Liftings of 1-forms to the bundle of affinors (Q2769243)
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scientific article; zbMATH DE number 1701139
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Liftings of 1-forms to the bundle of affinors |
scientific article; zbMATH DE number 1701139 |
Statements
5 February 2002
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natural bundles
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natural operators
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Liftings of 1-forms to the bundle of affinors (English)
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The following theorem is proved: The space of natural operators \(T^*\rightsquigarrow T^*(T\otimes T^*)\) over \(n\)-dimensional manifolds form a free \(n\)-dimensional module over the algebra of functions \(C^\infty\). An explicit basis is found. Non-existence of canonical volume (and hence symplectic, contact, oriented Riemannian etc.) forms on certain tensorial bundles is deduced.
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