Invariant Metrics with Nonnegative Curvature on SO(4)

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dc.creatorTapp, Kristopher
dc.date2006-08-14
dc.date.accessioned2026-07-07T07:21:47Z
dc.date.available2026-07-07T07:21:47Z
dc.descriptionWe derive a curvature-variation formula for a path of left-invariant metrics on a compact Lie group, beginning at a bi-invariant metric. We prove rigidity theorems for paths which remain nonnegatively curved, and we make progress towards a classification of the left-invariant metrics with nonnegative curvature on SO(4).
dc.identifierhttps://arxiv.org/abs/math/0608363
dc.identifierhttp://arxiv.org/abs/math/0608363
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115423
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53C
dc.titleInvariant Metrics with Nonnegative Curvature on SO(4)
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