Schnittort und konvexe Mengen in vollständigen Riemannschen Mannigfaltigkeiten

DOI10.1007/BF01350787zbMath0157.28801MaRDI QIDQ2527440

Hermann Karcher

Publication date: 1968

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/161710

zbMATH Keywords

metric geometry, convex geometry, integral geometry

Related Items

Locally Convex Hypersurfaces of Negatively Curved Spaces ⋮ Comparison theorems for curves of bounded geodesic curvature in metric spaces of curvature bounded above ⋮ Convexity and the unique footpoint property in Riemannian geometry ⋮ Remark on the Helly number for strongly convex sets on Riemannian manifolds ⋮ Bipolar comparison ⋮ On the number of geodesic segments connecting two points on manifolds of non-positive curvature ⋮ On the metric projection onto convex sets in riemannian spaces ⋮ Dirichlet's boundary value problem for harmonic mappings of Riemannian manifolds ⋮ Vierscheitelsatz auf Flächen nichtpositiver Krümmung ⋮ An existence theorem for harmonic mappings of Riemannian manifolds ⋮ Local estimate on convexity radius and decay of injectivity radius in a Riemannian manifold ⋮ An optimal Poincaré inequality for convex domains of non-negative curvature ⋮ Konvexe Mengen in Riemannschen Mannigfaltigkeiten ⋮ Existence of solutions for variational inequalities on Riemannian manifolds ⋮ Distance function and cut loci on a complete Riemannian manifold ⋮ Umkreise und Inkreise konvexer Kurven in der sphärischen und der hyperbolischen Geometrie ⋮ Anwendungen der Alexandrowschen Winkelvergleichssätze ⋮ Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds ⋮ Extending Whitney's extension theorem: nonlinear function spaces

Cites Work

• Contributions to riemannian geometry in the large
• Connections between differential geometry and topology. I. Simply connected surfaces
• On the covering of a complete space by the geodesics though a point
• Unnamed Item
• Unnamed Item
• Unnamed Item