Almost positive curvature on the Gromoll-Meyer sphere

DOI10.1090/S0002-9939-08-09429-XzbMath1153.53023arXiv0711.2987OpenAlexW2063851643MaRDI QIDQ3522327

Martin Kerin, Jost-Hinrich Eschenburg

Publication date: 1 September 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.2987

zbMATH Keywords

homogeneous manifoldsinvariant metricglobal differential geometryunitary quaternion

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20) Differentiable structures in differential topology (57R55)

Related Items (17)

Relations between metrics of almost positive curvature on the Gromoll-Meyer sphere ⋮ Rationally 4-periodic biquotients ⋮ The classification of compact simply connected biquotients in dimension 6 and 7 ⋮ The classification of \(\mathrm{SU}(2)^2\) biquotients of rank 3 Lie groups ⋮ Some new examples with almost positive curvature ⋮ Exotic spheres and curvature ⋮ The weighted connection and sectional curvature for manifolds with density ⋮ A note on quasi-positive curvature conditions ⋮ The classification of compact simply connected biquotients in dimensions 4 and 5 ⋮ The classification and curvature of biquotients of the form \(\mathrm{Sp}(3)//\mathrm{Sp}(1)^2\) ⋮ On the curvature of biquotients ⋮ Quasipositive curvature on a biquotient of \(\mathrm{Sp}(3)\) ⋮ Three new almost positively curved manifolds ⋮ Curvature, Sphere Theorems, and the Ricci flow ⋮ A minimal Brieskorn 5-sphere in the Gromoll-Meyer sphere and its applications ⋮ Orbifold biquotients of \(\mathrm{SU}(3)\) ⋮ A Note on Maximal Symmetry Rank, Quasipositive Curvature, and Low Dimensional Manifolds

Cites Work

• Unnamed Item
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• Flats in Riemannian submersions from Lie groups
• An exotic sphere with nonnegative sectional curvature
• An exotic sphere with positive curvature almost everywhere.
• Manifolds with positive sectional curvature almost everywhere.
• Some examples of manifolds of nonnegative curvature
• Almost positive curvature on the Gromoll-Meyer 7-sphere

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