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math.MG2026
Optimal stability of Pál's isominwidth inequality for ball convex bodies in planes of constant curvature
Ferenc Fodor, Ádám Sagmeister
Pál's isominwidth inequality (1921) answered the Kakeya needle problem (1917) for convex sets. It states that among convex bodies of fixed minimum width in the Euclidean plane,…
math.MG2025
John Ellipsoids of Revolution
Grigory Ivanov, Zsolt Lángi, Márton Naszódi +1
Finding a largest Euclidean ball in a given convex body and finding a largest volume ellipsoid in are two problems of fundamentally different nature. T…
math.MG2018
The isodiametric problem on the sphere and in the hypebolic space
Károly J. Böröczky, Ádám Sagmeister
We prove the isodiametric inequality in the spherical and in the hyperbolic space