Metrics with nonnegative curvature on \({S^2 \times \mathbb{R}^4}\)

DOI10.1007/s10455-011-9301-1zbMath1254.53068arXiv1010.5738OpenAlexW2048573099MaRDI QIDQ420606

Kristopher Tapp

Publication date: 22 May 2012

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

Full work available at URL: https://arxiv.org/abs/1010.5738

zbMATH Keywords

nonnegative curvatureconnection metricsoul

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Global Riemannian geometry, including pinching (53C20) Infinite-dimensional manifolds (58B99)

Related Items (1)

Riemannian submersions from compact four manifolds

Cites Work

• Connection metrics of nonnegative curvature on vector bundles
• Nonnegatively curved metrics on \(S^{2}\times {\mathbb R}^{2}\)
• Rigidity for nonnegatively curved metrics on \(S^2 \times \mathbb R^3\)
• 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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