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

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dc.creatorCrowley, Diarmuid
dc.creatorEscher, Christine M.
dc.date2000-04-24
dc.date.accessioned2026-07-07T04:34:51Z
dc.date.available2026-07-07T04:34:51Z
dc.descriptionWe 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.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0004147
dc.identifierhttp://arxiv.org/abs/math/0004147
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59064
dc.subjectAlgebraic Topology
dc.subjectDifferential Geometry
dc.subject55R15;55R40;57T35
dc.titleA classification of $S^3$-bundles over $S^4$
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