On the isoperimetric constant of symmetric spaces of noncompact type

TL;DR

This paper proves that all symmetric spaces of noncompact type have a positive isoperimetric constant and provides explicit calculations for these constants.

Contribution

It establishes the positivity of the isoperimetric constant for all such spaces and explicitly computes their values.

Findings

Isoperimetric constant is positive for all symmetric spaces of noncompact type

Explicit formulas for the isoperimetric constants are derived

The results enhance understanding of geometric properties of these spaces

Abstract

We prove that the isoperimetric constant is positive for all symmetric spaces of noncompact type and compute it explicitly.