The volume entropy of local Hermitian symmetric space of noncompact type

TL;DR

This paper computes the volume entropy of local Hermitian symmetric spaces of noncompact type using their invariants, providing a precise mathematical characterization.

Contribution

It introduces a formula for volume entropy based on invariants r, a, b, advancing understanding of geometric properties of these spaces.

Findings

Explicit formula for volume entropy in terms of invariants r, a, b

Enhanced understanding of geometric complexity of Hermitian symmetric spaces

Potential applications in differential geometry and mathematical physics

Abstract

We calculate the volume entropy of local Hermitian symmetric spaces of noncompact type in terms of its invariant $r$, $a$, $b$.