On the isodiametric and isominwidth inequalities for planar bisections
From MaRDI portal
Publication:2039467
DOI10.4171/rmi/1225zbMath1469.52003arXiv1903.06461OpenAlexW3096851160MaRDI QIDQ2039467
Bernardo González Merino, Antonio Cañete
Publication date: 5 July 2021
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.06461
Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10)
Related Items (3)
Stability of the isodiametric problem on the sphere and in the hyperbolic space ⋮ Optimal divisions of a convex body ⋮ Bisections of centrally symmetric planar convex bodies minimizing the maximum relative diameter
Cites Work
- Unnamed Item
- The isodiametric problem and other inequalities in the constant curvature 2-spaces
- On fencing problems
- Subdivisions of rotationally symmetric planar convex bodies minimizing the maximum relative diameter
- Width of convex bodies in spaces of constant curvature
- Completeness and constant width in spherical and hyperbolic spaces
- The Jung theorem for spherical and hyperbolic spaces
- On a relative isodiametric inequality for centrally symmetric, compact, convex surfaces
- On the reverse isodiametric problem and Dvoretzky-Rogers-type volume bounds
- Bisections of centrally symmetric planar convex bodies minimizing the maximum relative diameter
- The isodiametric problem on the sphere and in the hyperbolic space
- A sausage body is a unique solution for a reverse isoperimetric problem
- Width of spherical convex bodies
- Approximating the volume of convex bodies
- Bonnesen-type inequalities for surfaces of constant curvature
- Zusammenhängende Lagerungen konvexer Körper
- Über einige Affinvarianten konvexer Bereiche
- The maximum relative diameter for multi-rotationally symmetric planar convex bodies
- Perimeter, Diameter and Area of Convex Sets in the Hyperbolic Plane
- Volume Ratios and a Reverse Isoperimetric Inequality
- Relative geometric inequalities for compact, convex surfaces
- Tarski’s Plank Problem Revisited
- A Solution of the "Plank Problem"
This page was built for publication: On the isodiametric and isominwidth inequalities for planar bisections