# The isodiametric problem on the sphere and in the hypebolic space

## TL;DR

This paper establishes the isodiametric inequality in both spherical and hyperbolic geometries, extending classical geometric results to non-Euclidean spaces.

## Contribution

The paper provides the first proof of the isodiametric inequality in spherical and hyperbolic spaces, generalizing Euclidean results to curved geometries.

## Key findings

- Proved the isodiametric inequality in spherical space.
- Proved the isodiametric inequality in hyperbolic space.
- Extended classical geometric inequalities to non-Euclidean geometries.

## Abstract

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