Convex functions on Alexandrov surfaces

DOI10.1090/S0002-9947-99-02193-5zbMath0962.53041OpenAlexW1542905752MaRDI QIDQ4252940

Yukihiro Mashiko

Publication date: 23 June 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02193-5

zbMATH Keywords

convex functionlevel setAlexandrov spacecurvature bounded below

Mathematics Subject Classification ID

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

Related Items

The Global Study of Riemannian-Finsler Geometry

Cites Work

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• Complete noncompact Alexandrov spaces of nonnegative curvature
• The isometry groups of manifolds admitting nonconstant convex functions
• Convex functions on complete noncompact manifolds: Topological structure
• Totally convex sets in complete Riemannian manifolds
• The Gaussian curvature of Alexandrov surfaces
• The Riemannian structure of Alexandrov spaces
• A classification of Busemann G-surfaces which possess convex functions
• On the structure of complete manifolds of nonnegative curvature
• Convex functions on complete noncompact manifolds : differentiable structure