3 papers
math.MG2024
Steiner symmetrization on the sphere
Bushra Basit, Steven Hoehner, Zsolt Lángi +1
The aim of this paper is to introduce a generalization of Steiner symmetrization in Euclidean space for spherical space, which is the dual of the Steiner symmetrization in hyperbol…
math.MG2023
On a Dowker-type problem for convex disks with almost constant curvature
Bushra Basit, Zsolt Lángi
A classical result of Dowker (Bull. Amer. Math. Soc. 50: 120-122, 1944) states that for any plane convex body , the areas of the maximum (resp. minimum) area convex -gons ins…
math.MG2023
Dowker-type theorems for disk-polygons in normed planes
Bushra Basit, Zsolt Lángi
A classical result of Dowker (Bull. Amer. Math. Soc. 50: 120-122, 1944) states that for any plane convex body in the Euclidean plane, the areas of the maximum (resp. minimum) a…