On the Structure of Complete Manifolds of Nonnegative Curvature

1972/11/01 by Jeff Cheeger, Detlef Gromoll · 18 citations
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Curvature #Geometric Analysis and Curvature Flows #Geometry #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Pure mathematics #Scalar curvature #Sectional curvature

paper · doi:10.2307/1970819

crossref issued 1972/11/01 · crossref published 1972/11/01 · crossref published-print 1972/11/01 · openalex publication_date 1972/11/01 · crossref created 2006/04/24 · crossref deposited 2018/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11 · crossref indexed 2026/07/07

Citations

• Homologie Singuliere Des Espaces Fibres

Cited by

• On vector bundle manifolds with spherically symmetric metrics
• Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative ricci curvature
• Compact manifolds of nonpositive curvature
• A Course in Metric Geometry
• Curvature, diameter, and quotient manifolds
• Convex sets in a manifold of nonnegative curvature
• Notes on Perelman’s papers
• Generalized non-associative structures on the 7-sphere
• Splitting theorems on complete manifolds with Bakry-Émery curvature
• Nonnegative curvature and conullity of the curvature tensor
• Examples of biquotients whose tangent bundle is not a biquotient vector bundle
• Noncompact Manifolds with Nonnegative Ricci Curvature
• On the escape rate of geodesic loops in an open manifold with nonnegative Ricci curvature
• On the energy functional on Finsler manifolds and applications to stationary spacetimes
• Proof of the soul conjecture of Cheeger and Gromoll
• Pseudoconvexity and the problem of Levi
• Local estimate of fundamental groups
• Sectional curvature [wikipedia]
• Soul theorem [wikipedia]