Mittlere Schattengrenzenlänge konvexer Körper

DOI10.1007/BF03322658zbMath0578.52004MaRDI QIDQ1066470

P. Steenaerts

Publication date: 1985

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

areaconvexitygeometric measure theoryshadow boundarysmooth convex bodiesLebesgue

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Integration of real functions of several variables: length, area, volume (26B15) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Polytopes and polyhedra (52Bxx)

Related Items (4)

Shadow-boundaries of convex bodies ⋮ Shadow boundaries of typical convex bodies. measure properties ⋮ Too Long Shadow Boundaries ⋮ Covering by homothets and illuminating convex bodies

Cites Work

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• An elementary definition of surface area in \(E^{n+1}\) for smooth surfaces
• On Lebesgue area
• The Area of a Nonparametric Surface
• On the Area of Curved Surfaces
• Almost ellipsoidal sections and projections of convex bodies
• The number of neighbourly d ‐polytopes with d +3 vertices
• The directions of the line segments and of the r ‐dimensional balls on the boundary of a convex body in Euclidean space
• The (φ, k) Rectifiable Subsets of n Space
• Hausdorff Measure and Lebesgue Area
• Areas of k-Dimensional Nonparametric Surfaces In k + 1 Space

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