Visibility of Kobayashi geodesics in convex domains and related properties

Let $$D\subset {\mathbb {C}}^n$$ be a bounded domain. A pair of distinct boundary points $$\{p,q\}$$ D has the visibility property provided there exist compact subset $$K_{p,q}\subset D$$ and open neighborhoods $$U_p$$ p $$U_q$$ q, such that real geodesics for Kobayashi metric which join in intersect $$K_{p,q}$$ . Every Gromov hyperbolic convex domain enjoys any couple points. The Goldilocks domains introduced by Bharali Zimmer log-type Liu Wang also enjoy property. In this paper we relate growth distance near with provide new families where holds. We use same methods to refinements localization results distance, give localized sufficient condition visibility. exploit study behavior biholomorphic maps.