Rigidity for Nonnegatively Curved Metrics on S^2xR^3

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dc.creatorTapp, Kristopher
dc.date2002-10-10
dc.date.accessioned2026-07-07T04:51:49Z
dc.date.available2026-07-07T04:51:49Z
dc.descriptionWe address the question: how large is the family of complete metrics with nonnegative sectional curvature on S^2xR^3? We classify the connection metrics, and give several examples of non-connection metrics. We provide evidence that the family is small by proving some rigidity results for metrics more general than connection metrics.
dc.identifierhttps://arxiv.org/abs/math/0210157
dc.identifierhttp://arxiv.org/abs/math/0210157
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65246
dc.subjectDifferential Geometry
dc.subject53C20
dc.titleRigidity for Nonnegatively Curved Metrics on S^2xR^3
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