Spaces of Wald curvature bounded below

DOI10.1007/BF02921569zbMath0859.53023OpenAlexW2033425117MaRDI QIDQ1923010

Conrad P. Plaut

Publication date: 14 April 1997

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921569

zbMATH Keywords

Hopf-Rinow theoremAlexandrov spaceToponogov's theoremWald curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

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Cites Work

• Almost Riemannian spaces
• Manifolds near the boundary of existence
• Spaces with bounded curvature and distance geometry
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Collapsing and pinching under a lower curvature bound
• Metric curvature, convergence, and topological finiteness
• The Hopf-Rinow theorem in infinite dimension
• A new version of differentiable sphere theorem
• The Riemannian structure of Alexandrov spaces
• The Hopf-Rinow Theorem is false in infinite Dimensions
• A.D. Alexandrov spaces with curvature bounded below
• Hilbert Manifolds Without Epiconjugate Points
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