On some geometrical properties of Seifert bundles (Q1067659)
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scientific article; zbMATH DE number 3929959
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some geometrical properties of Seifert bundles |
scientific article; zbMATH DE number 3929959 |
Statements
On some geometrical properties of Seifert bundles (English)
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1984
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In this paper we use the integration along the leaves introduced by Haefliger in 1980 to obtain a differentiable version of the Gysin sequence and Euler class for compact Hausdorff orientable foliations with generic leaf the sphere \(S^ p\). From this we give a geometrical significance to the vanishing of the Euler class on Seifert bundles. We also obtain an integral formula on Seifert bundles similar to the Gauss- Bonnet one.
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integration along the leaves
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Gysin sequence
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Euler class
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compact Hausdorff orientable foliations
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Euler class on Seifert bundles
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