Nonnegatively curved homogeneous metrics in low dimensions

DOI10.1007/S10455-012-9345-XzbMath1263.53044arXiv1201.4744OpenAlexW3099501675MaRDI QIDQ1942006

Andreas Kollross, Megan M. Kerr

Publication date: 25 March 2013

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4744

zbMATH Keywords

Riemannian submersionnonnegative curvaturehomogeneous metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Compact Lie groups of differentiable transformations (57S15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (2)

Nonnegatively curved homogeneous metrics obtained by scaling fibers of submersions ⋮ The concept of Cheeger deformations on fiber bundles with compact structure group

Cites Work

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• Low cohomogeneity and polar actions on exceptional compact Lie groups
• Homogeneous metrics with nonnegative curvature
• A remark on left invariant metrics on compact Lie groups
• A classification of hyperpolar and cohomogeneity one actions
• Nonnegatively and Positively curved manifolds
• Invariant Metrics with Nonnegative Curvature on Compact Lie Groups

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