scientific article

zbMath0703.53043MaRDI QIDQ3482492

Shigeru Kodani

Publication date: 1990

Full work available at URL: http://www.numdam.org/item?id=CM_1990__75_2_171_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

comparison theoremHausdorff convergenceLipschitz convergencecut locus of the boundary

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

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Compactness of conformally compact Einstein manifolds in dimension 4, Hyperbolic cone-manifolds, short geodesics, and Schwarzian derivatives, Collapsing manifolds with boundary, Compactness of conformally compact Einstein 4-manifolds. II, Convergence of manifolds and metric spaces with boundary, Boundary harmonic coordinates on manifolds with boundary in low regularity, Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem, Inradius collapsed manifolds, Volumes and limits of manifolds with Ricci curvature and mean curvature bounds

Cites Work

• Embedding and surrounding with positive mean curvature
• P-convex Riemannian manifolds
• Local convexity and nonnegative curvature - Gromov's proof of the sphere theorem
• Lipschitz convergence of Riemannian manifolds
• Handlebodies and p-convexity
• Jacobi tensors and Ricci curvature
• The unknottedness of minimal embeddings
• A general comparison theorem with applications to volume estimates for submanifolds
• Minimal Disks and Compact Hypersurfaces in Euclidean Space
• Gromov’s convergence theorem and its application
• Finiteness Theorems for Riemannian Manifolds
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