Natural transformations of symmetric affine connections on manifolds to metrics on linear frame bundles: A classification (Q1100448)
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scientific article; zbMATH DE number 4042740
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Natural transformations of symmetric affine connections on manifolds to metrics on linear frame bundles: A classification |
scientific article; zbMATH DE number 4042740 |
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Natural transformations of symmetric affine connections on manifolds to metrics on linear frame bundles: A classification (English)
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1988
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We apply concepts and methods due to \textit{D. Krupka} [Arch. Math., Brno 14, 207-214 (1978; Zbl 0428.58002)] to find all second order natural transformations of symmetric affine connections on manifolds into metrics on linear frame bundles. The complete family of naturally resulting metrics (to a fixed symmetric affine connection) is a real vector space generated by some generalization of two ``classical'' liftings.
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natural transformations
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affine connections
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frame bundles
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