On Complete Manifolds With Nonnegative Ricci Curvature
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Publication:3483959
DOI10.2307/1990957zbMath0704.53032OpenAlexW4237897282MaRDI QIDQ3483959
Publication date: 1990
Full work available at URL: https://doi.org/10.2307/1990957
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Cites Work
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- Unnamed Item
- An elementary proof of the Cheeger-Gromoll splitting theorem
- Positive Ricci curvature on the connected sums of \(S^ n\times S^ m\)
- On the topology of complete manifolds of non-negative Ricci curvature
- Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature
- Examples of complete manifolds with positive Ricci curvature
- Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
- Examples of manifolds of positive Ricci curvature
- Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
- Curvature, diameter and Betti numbers
- Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
- A generalized sphere theorem
- A generalization of the Cheeger-Gromoll splitting theorem
- A note on curvature and fundamental group
- On complete open manifolds of positive curvature
- The unknottedness of minimal embeddings
- The splitting theorem for manifolds of nonnegative Ricci curvature
- On the structure of complete manifolds of nonnegative curvature
- Lower curvature bounds, Toponogov's theorem, and bounded topology
- Seminar on Differential Geometry. (AM-102)
- An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
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