On reduced convex bodies

DOI10.1007/BF02766127zbMath0613.52010MaRDI QIDQ1819379

Boris V. Dekster

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

strict convexityconstant widthreduced convex bodysupporting sphere

Mathematics Subject Classification ID

Spherical and hyperbolic convexity (52A55) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (7)

A reverse isoperimetric inequality for planar (α, β)-convex bodies ⋮ The circumradius of planar reduced convex bodies ⋮ Reduced convex bodies in the plane ⋮ Reduced bodies in normed planes ⋮ Reduced convex bodies in Euclidean space -- a survey ⋮ Reduced convex bodies in finite dimensional normed spaces: a survey ⋮ Tetrahedra are not reduced

Cites Work

• Extremal convex sets
• Reduced strictly convex plane figure is of constant width
• The curvature of most convex surfaces vanishes almost everywhere
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