Ehresmann connection for the canonical foliation on a manifold over a local algebra (Q1358475)
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scientific article; zbMATH DE number 1028508
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ehresmann connection for the canonical foliation on a manifold over a local algebra |
scientific article; zbMATH DE number 1028508 |
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Ehresmann connection for the canonical foliation on a manifold over a local algebra (English)
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14 July 1997
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The author defines an \(A\)-affine horizontal distribution on a manifold \(M^A\) over a local algebra \(A\) and shows that for a complete manifold \(M^A\) this distribution is an Ehresmann connection in the sense of Blumenthal-Hebda. He also proves that the \(A\)-affine horizontal distribution on \(M^A\) exists if and only if the Atiyah class of a certain foliated principal bundle vanishes.
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manifold over a local algebra
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horizontal distribution
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Ehresmann connection
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foliated principal bundle
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