Rigidity for odd-dimensional souls

DOI10.2140/GT.2012.16.957zbMath1247.53039arXiv1109.5150OpenAlexW1997807690MaRDI QIDQ441108

Kristopher Tapp

Publication date: 20 August 2012

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5150

zbMATH Keywords

nonnegative curvatureflatsoul

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

Riemannian submersions from compact four manifolds

Cites Work

• \(\Sigma\)-flat manifolds and Riemannian submersions
• Manifolds with positive sectional curvature almost everywhere.
• Conditions for nonnegative curvature on vector bundles and sphere bundles.
• Quasi-positive curvature on homogeneous bundles
• On the structure of complete manifolds of nonnegative curvature
• The metric projection onto the soul

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