Obstructions to Positive Curvature on Homogeneous Bundles

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dc.creatorTapp, Kristopher
dc.date2005-08-21
dc.date.accessioned2026-07-07T05:22:32Z
dc.date.available2026-07-07T05:22:32Z
dc.descriptionExamples of almost-positively and quasi-positively curved spaces of the form M=H((G,h)xF) were discovered recently. Here, h is a left-invariant metric on a compact Lie group G, F is a compact Riemannian manifold on which the subgroup H of G acts isometrically on the left, and M is the orbit space of the diagonal left action of H on (G,h)xF with the induced Riemannian submersion metric. We prove that no new examples of strictly positive sectional curvature exist in this class of metrics. This result generalizes the case F={point} proven by Geroch.
dc.identifierhttps://arxiv.org/abs/math/0508394
dc.identifierhttp://arxiv.org/abs/math/0508394
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76100
dc.subjectMetric Geometry
dc.subjectDifferential Geometry
dc.subject53C20
dc.titleObstructions to Positive Curvature on Homogeneous Bundles
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