3 papers
math.CV2021
Complex geodesics in tube domains and their role in the study of harmonic mappings in the disc
Wlodzimierz Zwonek
We continue the research on the structure of complex geodesics in tube domains over (bounded) convex bases. In some special cases a more explicit form of the geodesics than the exi…
math.CV2020
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 and a collection of complex geodesics of ,…
math.CV2016
Nevanlinna-Pick interpolation problem in the ball
Łukasz Kosiński, Włodzimierz Zwonek
We solve a three point Nevanlinna-Pick problem in the Euclidean ball. In particular, we determine a class of rational functions that interpolate this problem.