Holomorphic maps acting as Kobayashi isometries on a family of geodesics

Filippo Bracci, Łukasz Kosiński, Włodzimierz Zwonek

Consider a holomorphic map $F:D\to G$ between two domains in ${\mathbb{C}}^N$. Let $\mathcal{F}$ denote a family of geodesics for the Kobayashi distance, such that $F$ acts as an i…