Homogeneous Metrics with nonnegative curvature

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dc.creatorSchwachhofer, Lorenz
dc.creatorTapp, Kristopher
dc.date2008-04-23
dc.date2008-06-23
dc.date.accessioned2026-07-07T09:46:00Z
dc.date.available2026-07-07T09:46:00Z
dc.descriptionGiven compact Lie groups H\subset G, we study the space of G-invariant metrics on G/H with nonnegative sectional curvature. For an intermediate subgroup K between H and G, we derive conditions under which enlarging the Lie algebra of K maintains nonnegative curvature on G/H. Such an enlarging is possible if (K,H) is a symmetric pair, which yields many new examples of nonnegatively curved homogeneous metrics. We provide other examples of spaces G/H with unexpectedly large families of nonnegatively curved homogeneous metrics.
dc.identifierhttps://arxiv.org/abs/0804.3729
dc.identifierhttp://arxiv.org/abs/0804.3729
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163381
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53Cxx
dc.titleHomogeneous Metrics with nonnegative curvature
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