The isodiametric problem on the sphere and in the hypebolic space

2018/12/23 by Böröczky, Károly J., Sagmeister, Ádám
#52A40 #52A55 #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1812.09753

Abstract

We prove the isodiametric inequality in the spherical and in the hyperbolic space

Related

• Stability of the isodiametric problem on the sphere and in the hyperbolic space
• Pal's isominwidth problem in the hyperbolic space
• Quantitative stability in the isodiametric inequality via the isoperimetric inequality
• Isodiametric inequality in Carnot groups
• Discrete isoperimetric problems in spaces of constant curvature