Almost positive curvature on the Gromoll-Meyer sphere

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dc.creatorEschenburg, Jost-Hinrich
dc.creatorKerin, Martin
dc.date2007-11-19
dc.date.accessioned2026-07-07T08:43:47Z
dc.date.available2026-07-07T08:43:47Z
dc.descriptionGromoll and Meyer have represented a certain exotic 7-sphere $Σ^7$ as a biquotient of the Lie group $G = Sp(2)$. We show for a 2-parameter family of left invariant metrics on $G$ that the induced metric on $Σ^7$ has strictly positive sectional curvature at all points outside four subvarieties of codimension $\geq 1$ which we describe explicitly.
dc.description8 pages, 1 figure, to appear in Proc. Amer. Math. Soc
dc.identifierhttps://arxiv.org/abs/0711.2987
dc.identifierhttp://arxiv.org/abs/0711.2987
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142441
dc.subjectDifferential Geometry
dc.subject53C20; 53C30
dc.titleAlmost positive curvature on the Gromoll-Meyer sphere
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