Non-negative curvature obstructions in cohomogeneity one and the Kervaire spheres

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dc.creatorGrove, K.
dc.creatorWilking, B.
dc.creatorVerdiani, L.
dc.creatorZiller, W.
dc.date2006-01-31
dc.date.accessioned2026-07-07T06:59:31Z
dc.date.available2026-07-07T06:59:31Z
dc.descriptionIn contrast to the homogeneous case, we show that there are compact cohomogeneity one manifolds, that do not support invariant metrics of non-negative sectional curvature. In fact we exhibit infinite families of such manifolds including the exotic Kervaire spheres. Such examples exist for any codimension of the singular orbits except for the case where both are equal to two, where existence of non-negatively curved metrics is known.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0601765
dc.identifierhttp://arxiv.org/abs/math/0601765
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107777
dc.subjectDifferential Geometry
dc.subject53C20
dc.titleNon-negative curvature obstructions in cohomogeneity one and the Kervaire spheres
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