Characterizations of the Euclidean Ball by Intersections with Planes and Slabs

DOI10.1080/00029890.2019.1537759zbMath1409.52004OpenAlexW2915058047MaRDI QIDQ3120224

Carlos Yee-Romero, Jesús Jerónimo-Castro

Publication date: 1 March 2019

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2019.1537759

zbMATH Keywords

characterizations of the Euclidean ballintersections with planes and slabs

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items (2)

Volume properties and some characterizations of ellipsoids in En+1 ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Some characterizations of spheres and elliptic paraboloids
• Thick sections of convex bodies
• Über eine geometrische Deutung des Affinnormalenvektors einseitig gekrümmter Hyperflächen. (On a geometric interpretation of the affine normal vector of unilaterally curved hypersurfaces)
• Umkehrung eines Satzes von Archimedes über die Kugel
• Diameters of Convex Bodies
• Global affine differential geometry of hypersurfaces
• On evolutoids of planar convex curves. II

This page was built for publication: Characterizations of the Euclidean Ball by Intersections with Planes and Slabs