Horofunctions, Busemann functions, and ideal boundaries of open manifolds of nonnegative curvature

DOI10.1007/BF00971404zbMath0820.53044MaRDI QIDQ1335939

Valery Borisovich Marenich

Publication date: 8 November 1994

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Busemann functionhorofunctionidal boundaryopen manifold of nonnegative curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (5)

On connection of the geometry of a four-dimensional open manifold with the topology of its ideal boundaries ⋮ Locally Lipschitz graph property for lines ⋮ Busemann Functions in Asymptotically Harmonic Finsler Manifolds ⋮ Busemann functions and barrier functions ⋮ Manifolds with asymptotically nonnegative minimal radial curvature

Cites Work

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• Busemann functions and total curvature
• On the structure of complete manifolds of nonnegative curvature
• The ideal boundaries and global geometric properties of complete open surfaces
• Lower curvature bounds, Toponogov's theorem, and bounded topology
• A compactification of a manifold with asymptotically nonnegative curvature

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