On some geometrical properties of Seifert bundles

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Abstract

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. © 1984 Hebrew University.
Original languageEnglish
Pages (from-to)323-334
JournalIsrael Journal of Mathematics
Volume47
Issue number4
DOIs
Publication statusPublished - 1 Dec 1984

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