New examples of obstructions to non-negative sectional curvatures in cohomogeneity one manifolds

DOI10.1090/S0002-9947-2014-06194-1zbMath1301.53033arXiv0910.5712MaRDI QIDQ3190940

Chenxu He

Publication date: 19 September 2014

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

Full work available at URL: https://arxiv.org/abs/0910.5712

zbMATH Keywords

invariant metricsclass-one representations

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20)

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Cites Work

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• Cohomogeneity one manifolds with positive Ricci curvature
• Curvature and symmetry of Milnor spheres
• Some examples of manifolds of nonnegative curvature
• Positively curved cohomogeneity one manifolds and 3-Sasakian geometry
• A duality theorem for Riemannian foliations in nonnegative sectional curvature
• Compact connected Lie transformation groups on spheres with low cohomogeneity. I

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