Orbifold fibrations of Eschenburg spaces

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dc.creatorFlorit, Luis
dc.creatorZiller, Wolfgang
dc.date2006-08-30
dc.date.accessioned2026-07-07T07:22:19Z
dc.date.available2026-07-07T07:22:19Z
dc.descriptionWe study isometric circle actions on 7 dimensional positively curved Eschenburg spaces which are almost free, thus giving rise to orbifold fibrations of these spaces. This shows in particular that every known example of compact manifolds with positive sectional curvature is the total space of an orbifold fibration. We then study in detail the geometry of the singular locus and how to minimize it. As a consequence we obtain, for example, a six dimensional compact positively curved orbifold with only two singular points with orbifold groups Z_2.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0608745
dc.identifierhttp://arxiv.org/abs/math/0608745
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115617
dc.subjectDifferential Geometry
dc.subject53C20; 55R55
dc.titleOrbifold fibrations of Eschenburg spaces
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