Reduced convex bodies in the plane

DOI10.1007/BF02801470zbMath0707.52005MaRDI QIDQ919621

Marek Lassak

Publication date: 1990

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

zbMATH Keywords

perimeterreduced convex body

Mathematics Subject Classification ID

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

Related Items (14)

Spherical Geometry—A Survey on Width and Thickness of Convex Bodies ⋮ The area of reduced spherical polygons ⋮ Width of convex bodies in hyperbolic space ⋮ The circumradius of planar reduced convex bodies ⋮ The perimeter and area of reduced spherical polygons of thickness \(\pi /2\) ⋮ On reduced polytopes and antipodality ⋮ Hunting for reduced polytopes ⋮ Reduced bodies in normed planes ⋮ Reduced convex bodies in Euclidean space -- a survey ⋮ Reduced convex bodies in finite dimensional normed spaces: a survey ⋮ Isoperimetric polygons of maximum width ⋮ On pyramids and reducedness ⋮ Tetrahedra are not reduced ⋮ Width of spherical convex bodies

Cites Work

• Estimates for the minimal width of polytopes inscribed in convex bodies
• Extremal convex sets
• Reduced strictly convex plane figure is of constant width
• On reduced convex bodies

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