Collapse of unit horizontal bundles equipped with a metric of Cheeger-Gromoll type

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dc.creatorKozlowski, Wojciech
dc.creatorWalczak, Szymon M.
dc.date2007-06-14
dc.date.accessioned2026-07-07T08:10:02Z
dc.date.available2026-07-07T08:10:02Z
dc.descriptionWe study unit horizontal bundles associated with Riemannian submersions. First we investigate metric properties of an arbitrary unit horizontal bundle equipped with a Riemannian metric of the Cheeger-Gromoll type. Next we examine it from the Gromov-Hausdorff convergence theory point of view, and we state a collapse theorem for unit horizontal bundles associated with a sequence of warped Riemannian submersions.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0706.2051
dc.identifierhttp://arxiv.org/abs/0706.2051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131722
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53B21; 70G45
dc.titleCollapse of unit horizontal bundles equipped with a metric of Cheeger-Gromoll type
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