Gromov hyperbolicity of the \tilde{j}_G metric and boundary correspondence.

Let G\subsetneq \mathbb {R}^n be an open set. It is shown by Hästö that G equipped with the \tilde {j}_G metric is Gromov hyperbolic. The purpose of this paper is to show that there is a natural quasisymmetric correspondence between the Gromov boundary of (G, \tilde {j}_G) and its Euclidean boundary \partial G. Both bounded and unbounded cases are in our considerations. [ABSTRACT FROM AUTHOR]