Die meisten konvexen Körper sind glatt, aber nicht zu glatt

DOI10.1007/BF01391471zbMath0342.52009MaRDI QIDQ1232091

Peter M. Gruber

Publication date: 1977

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

Full work available at URL: https://eudml.org/doc/163022

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (13)

Largest \(j\)-simplices in \(n\)-polytopes ⋮ Cross-positive matrices revisited ⋮ Inscribed and Circumscribed Circles to Convex Curves ⋮ Irreducible convex sets ⋮ Multifractal properties of typical convex functions ⋮ Generalized rectangular convexity ⋮ Double normals of most convex bodies ⋮ Normal bundles of convex bodies ⋮ Unnamed Item ⋮ Application of an idea of Voronoĭ to lattice packing ⋮ Too Long Shadow Boundaries ⋮ Curvatures of typical convex bodies— the complete picture ⋮ Moderate smoothness of most Alexandrov surfaces

Cites Work

• Some new results on smoothness and rotundity in normed linear spaces
• On Blaschke's rolling theorems
• Decomposable convex polyhedra
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