Optimal Linear Dependence on Boundary Type for Local Gromov Hyperbolicity of the Kobayashi Metric

The Gromov hyperbolicity constant of a metric space \((X,d)\) is the infimum of all \(δ\ge0\) such that \((X,d)\) is \(δ\)-hyperbolic. For a Kobayashi hyperbolic domain \(Ω\subset\C^n\) and a boundary point \(p\in\partialΩ\), let \(δ_{\mathrm{loc}}(Ω,p)\) denote the local Gromov hyperbolicity consta