A splitting of vector bundles with connection and pseudo-inverses of the fundamental form (Q927805)
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scientific article; zbMATH DE number 5285862
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A splitting of vector bundles with connection and pseudo-inverses of the fundamental form |
scientific article; zbMATH DE number 5285862 |
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A splitting of vector bundles with connection and pseudo-inverses of the fundamental form (English)
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10 June 2008
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In this paper, a splitting of the short exact sequence of vector bundles with connection as a generalization of an affine immersion is considered. An existence theorem of a unimodular splitting under a certain regularity condition on the fundamental form is obtained. In particular, the author uses a pseudo-inverse of the fundamental form to choose a canonical splitting, which is applied to an equiaffine immersion.
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splitting of vector bundles
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fundamental form
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pseudo-inverse of the fundamental form
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equi-affine immersion
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0.9142711
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0.9073783
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0.89295983
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0.89276147
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0.8920727
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0.89176387
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0.89023685
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