A classification of $S^3$-bundles over $S^4$

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We classify the total spaces of bundles over the four sphere with fiber a three sphere up to orientation preserving and reversing homotopy equivalence, homeomorphism and diffeomorphism. These total spaces have been of interest to both topologists and geometers. It has recently been shown by Grove and Ziller that each of these total spaces admits metrics with nonnegative sectional curvature.
19 pages

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Algebraic Topology, Differential Geometry, 55R15;55R40;57T35

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http://salesiana.dossiersoluciones.com/handle/123456789/59064

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0004147
 http://arxiv.org/abs/math/0004147

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arXiv