The Bergman-Fridman invariant on some classes of pseudoconvex domains

We study the boundary behaviour of a variant of the Fridman's invariant function (defined in terms of the Bergman metric) on Levi corank one domains, strongly pseudoconvex domains, smoothly bounded convex domains in $\mathbb{C}^n$ and polyhedral domains in $\mathbb{C}^2$.

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