4 citations · 4 across the 2 of their papers we have counts for
3 papers
math.MG2025
Pal's isominwidth problem in the hyperbolic space
Karoly J. Boroczky, Ansgar Freyer, Adam Sagmeister
The paper focuses on possible hyperbolic versions of the classical Pal isominwidth inequality in R^2 from 1921, which states that for a fixed minimal width, the regular triangle ha…
math.MG2024
The isominwidth problem on the 2-sphere
Ansgar Freyer, Ádám Sagmeister
Pál's isominwidth theorem states that for a fixed minimal width, the regular triangle has minimal area. A spherical version of this theorem was proven by Bezdek and Blekherman, if…
math.MG2022★ 4 cited
Convex bodies of constant width in spaces of constant curvature and the extremal area of Reuleaux triangles
Karoly J. Boroczky, Adam Sagmeister
Extending Blaschke and Lebesgue's classical result in the Euclidean plane, it has been recently proved in spherical and the hyperbolic cases, as well, that Reuleaux triangles have…