Smooth structures on sphere bundles over spheres

Samuel Omoloye Ajala

International Journal of Mathematics and Mathematical Sciences, 1988, vol. 11, 1-11

Abstract:

In [1] R. De Sapio gave a classification of smooth structures of a p -sphere bundle over a q -sphere with one cross-section and p < q . In [2] J. Munkres also gave a classification up to concordance of differential structures in the case where the bundle has at least two cross-sections. In [3] R. Schultz gave a classification in the case p ≥ q . Here we will give a classification of the p -sphere bundle over a q -sphere without any cross-section and p < q .

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:801798

DOI: 10.1155/S0161171288000857

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