Infinite curvature on typical convex surfaces

DOI10.1007/s10711-011-9658-0zbMath1269.52006arXiv1011.4652OpenAlexW1982760977MaRDI QIDQ438917

Karim A. Adiprasito

Publication date: 31 July 2012

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4652

zbMATH Keywords

Baire categorytypical convex bodytypical convex surfacesumbilical points

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (2)

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
• Curvature properties of typical convex surfaces
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