Slice rigidity property of holomorphic maps Kobayashi-isometrically preserving complex geodesics

Filippo Bracci, Łukasz Kosiński, Włodzimierz Zwonek

In this paper we study the following "slice rigidity property": given two Kobayashi complete hyperbolic manifolds $M,N$ and a collection of complex geodesics $\mathcal{F}$ of $M$,…