Geometric Curvature Bounds in Riemannian Manifolds with Boundary

DOI10.2307/2154294zbMath0793.53039OpenAlexW4246690489MaRDI QIDQ3142093

Stephanie B. Alexander, Richard L. Bishop, I. David Berg

Publication date: 20 December 1993

Full work available at URL: https://doi.org/10.2307/2154294

zbMATH Keywords

convexityisoperimetric inequalitysectional curvatureAlexandrov curvature boundCartan- Hadamard theorem

Mathematics Subject Classification ID

Integral geometry (53C65) Global Riemannian geometry, including pinching (53C20) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

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Cites Work

• The Riemannian obstacle problem
• Examples of complete manifolds with positive Ricci curvature
• The Hadamard-Cartan theorem in locally convex metric spaces
• On the Dirichlet Problem at Infinity for Manifolds of Nonpositive Curvature
• Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
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