On the mean number of normals through a point in the interior of a convex body

DOI10.1007/BF01266322zbMath0835.52011MaRDI QIDQ1900045

Daniel Hug

Publication date: 16 April 1996

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

zbMATH Keywords

convex bodyinteriormean number of normals

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Integral geometry (53C65)

Related Items (3)

Local tensor valuations ⋮ An Euler-type volume identity ⋮ Absolute Continuity for Curvature Measures of Convex Sets I

Cites Work

• Curvature measures and generalized Morse theory
• Integral and current representation of Federer's curvature measures
• Curvature measures and Steiner formulae in space forms
• Some analytical properties of geodesically convex sets
• The average number of normals through a point in a convex body and a related Euler-type identity
• Points of infinitely many normals to convex surfaces.
• Zu einem maßgeometrischen Satz über Körper konstanter Breite
• Curvature Measures
• Analytische Eigenschaften konvexer Funktionen auf Riemannschen Mannigfaltigkeiten.
• Note on convex spherical curves
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