Invariant metrics with nonnegative curvature on SO(4) and other Lie groups

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dc.creatorHuizenga, Jack
dc.creatorTapp, Kristopher
dc.date2007-02-09
dc.date.accessioned2026-07-07T07:45:46Z
dc.date.available2026-07-07T07:45:46Z
dc.descriptionWe develop techniques for classifying the nonnegatively curved left-invariant metrics on a compact Lie group G. We prove rigidity theorems for general G and a partial classification for G=SO(4). Our approach is to reduce the general question to an infinitesimal version; namely, to classify the directions one can move away from a fixed bi-invariant metric such that curvature variation formulas predict nearby metrics are nonnnegatively curved.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0702241
dc.identifierhttp://arxiv.org/abs/math/0702241
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123639
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53C
dc.titleInvariant metrics with nonnegative curvature on SO(4) and other Lie groups
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