Stability of the isodiametric problem on the sphere and in the hyperbolic space

2022/07/07 by Károly J. Böröczky, Böröczky, Károly J., Ádám Sagmeister +1
Mathematics · #Differential Equations and Boundary Problems #FOS: Mathematics #Metric Geometry (math.MG) #Nonlinear Partial Differential Equations #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2207.03043

openalex publication_date 2022/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a stability version of the isodiametric inequality on the sphere and in the hyperbolic space.

Related

• The isodiametric problem on the sphere and in the hypebolic space
• Quantitative stability in the isodiametric inequality via the isoperimetric inequality
• Stability from rigidity via umbilicity
• Pal's isominwidth problem in the hyperbolic space
• Isotropic measures, and stronger forms of the reverse isoperimetric inequality