Local convexity and nonnegative curvature - Gromov's proof of the sphere theorem
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Publication:1076988
DOI10.1007/BF01388744zbMath0594.53034OpenAlexW1980614297MaRDI QIDQ1076988
Publication date: 1986
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143349
Related Items (17)
Asymptotically flat manifolds of nonnegative curvature ⋮ Aspects of global Riemannian geometry ⋮ Lens rigidity with partial data in the presence of a magnetic field ⋮ Comparison theorems and hypersurfaces ⋮ Riemannian manifolds with flat ends ⋮ Sign and geometric meaning of curvature ⋮ The Local Magnetic Ray Transform of Tensor Fields ⋮ When strictly locally convex hypersurfaces are embedded ⋮ Exotic spheres and curvature ⋮ Homotopical and topological rigidity of hypersurfaces of spherical space forms ⋮ Curvature, Sphere Theorems, and the Ricci flow ⋮ Notes on Perelman's papers ⋮ Curvature increasing metric variations ⋮ Unnamed Item ⋮ Topological rigidity for closed hypersurfaces of elliptic space forms ⋮ Index theory and deformations of open nonnegatively curved manifolds ⋮ The generalized Gauss map and applications
Cites Work
- An elementary proof of the Cheeger-Gromoll splitting theorem
- Jacobi tensors and Ricci curvature
- Geometrische Methoden zur Gewinnung von a-priori-Schranken für harmonische Abbildungen
- \(C^\infty\) convex functions and manifolds of positive curvature
- Über die Approximation von lokal konvexen Mengen
- An elementary method in the study of nonnegative curvature
- Über Riemannsche Mannigfaltigkeiten mit positiver Krümmung
- A theorem of E. Hopf
- On complete open manifolds of positive curvature
- On the structure of complete manifolds of nonnegative curvature
- Morse Theory. (AM-51)
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