Connection metrics of nonnegative curvature on vector bundles

DOI10.1007/BF02568500zbMath0695.53032MaRDI QIDQ910020

Martin Strake, Gerard Walschap

Publication date: 1990

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155476

zbMATH Keywords

positive sectional curvaturecomplete metricRiemannian connectionEuclidean vector bundle

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Connections (general theory) (53C05)

Related Items

Conditions for nonnegative curvature on vector bundles and sphere bundles. ⋮ On pull-backs of the universal connection ⋮ Radially symmetric connections over round spheres ⋮ Metrics with nonnegative curvature on \({S^2 \times \mathbb{R}^4}\) ⋮ Nonnegatively and positively curved invariant metrics on circle bundles ⋮ Parallel connections over symmetric spaces

Cites Work

• Nonnegatively curved manifolds with souls of codimension 2
• \(\Sigma\)-flat manifolds and Riemannian submersions
• Totally geodesic maps
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