On the Kähler-hyperbolicity of bounded symmetric domains

In this paper, we characterize the Kähler-hyperbolicity length of a bounded symmetric domain, defined by its rank and genus, as a unique constant determined by a constant gradient length of a special Bergman potential. Additionally, we establish a characterization of the lower bound of $L^{\mathrm{\infty }}$ norm of the gradient length of any Bergman potential.