Nonnegatively curved homogeneous metrics obtained by scaling fibers of submersions

DOI10.1007/s10711-012-9795-0zbMath1306.53040arXiv1203.2371OpenAlexW3098934088MaRDI QIDQ376293

Megan M. Kerr, Andreas Kollross

Publication date: 4 November 2013

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.2371

zbMATH Keywords

nonnegative curvaturesymmetric pairhomogeneous 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)

Cites Work

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• Homogeneous metrics with nonnegative curvature
• Curvature and symmetry of Milnor spheres
• Some examples of manifolds of nonnegative curvature
• Nonnegatively curved homogeneous metrics in low dimensions
• A remark on left invariant metrics on compact Lie groups
• Compact homogeneous Riemannian manifolds with strictly positive curvature

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