Busemann functions and total curvature
From MaRDI portal
Publication:1139298
DOI10.1007/BF01389768zbMath0433.53050OpenAlexW2023790515MaRDI QIDQ1139298
Publication date: 1979
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142667
Geodesics in global differential geometry (53C22) Direct methods ((G)-spaces of Busemann, etc.) (53C70)
Related Items
Horofunctions, Busemann functions, and ideal boundaries of open manifolds of nonnegative curvature, The ideal boundaries and global geometric properties of complete open surfaces, Fenchel conjugate via Busemann function on Hadamard manifolds, A new approach about equilibrium problems via Busemann functions, Differentiability of Busemann functions and total excess, The ideal boundaries of complete open surfaces, A compactification of a manifold with asymptotically nonnegative curvature, Total curvature of complete submanifolds of Euclidean space, Combinatorial convexity in Hadamard manifolds: existence for equilibrium problems, A relation between the total curvature and the measure of rays. II, Open manifolds of nonnegative curvature
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convex functions on complete noncompact manifolds: Topological structure
- Some results on nonnegatively curved manifolds
- An extension of a theorem of Myers
- \(C^\infty\) convex functions and manifolds of positive curvature
- Riemannsche Mannigfaltigkeiten mit nicht-konstanter konvexer Funktion
- On complete open manifolds of positive curvature
- On the structure of complete manifolds of nonnegative curvature
- On the total curvature of noncompact Riemannian manifolds
- Riemannian spaces having their curvature bounded below by a positive number
- Riemannian spaces which contain straight lines
