Techniques for classifying nonnegatively curved left-invariant metrics on compact Lie groups

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dc.creatorHuizenga, Jack
dc.date2006-08-14
dc.date.accessioned2026-07-07T07:21:47Z
dc.date.available2026-07-07T07:21:47Z
dc.descriptionWe provide techniques for studying the nonnegatively curved left-invariant metrics on a compact Lie group. For "straight" paths of left-invariant metrics starting at bi-invariant metrics and ending at nonnegatively curved metrics, we deduce a nonnegativity property of the initial derivative of curvature. We apply this result to obtain a partial classification of the nonnegatively curved left-invariant metrics on SO(4).
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0608362
dc.identifierhttp://arxiv.org/abs/math/0608362
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115422
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53C
dc.titleTechniques for classifying nonnegatively curved left-invariant metrics on compact Lie groups
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