24 citations · 96 across the 28 of their papers we have counts for
6 papers · 1 filter
Two boundary rigidity results for holomorphic maps
Andrew Zimmer
In this paper we establish two boundary versions of the Schwarz lemma. The first is for general holomorphic self maps of bounded convex domains with boundary. This appears to…
Asymptotic behavior of orbits of holomorphic semigroups
Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal +2
Let be a holomorphic semigroup of the unit disc (i.e., the flow of a semicomplete holomorphic vector field) without fixed points in the unit disc and let be the starlik…
The geometry of domains with negatively pinched Kähler metrics
Filippo Bracci, Hervé Gaussier, Andrew Zimmer
We study how the existence of a negatively pinched Kähler metric on a domain in complex Euclidean space restricts the geometry of its boundary. In particular, we show that if a con…
Homeomorphic extension of quasi-isometries for convex domains in and iteration theory
Filippo Bracci, Hervé Gaussier, Andrew Zimmer
We study the homeomorphic extension of biholomorphisms between convex domains in without boundary regularity and boundedness assumptions. Our approach relies on metho…
Smoothly bounded domains covering finite volume manifolds
Andrew Zimmer
In this paper we prove: if a bounded domain with boundary covers a manifold which has finite volume with respect to either the Bergman volume, the Kähler-Einstein volume, or…
The automorphism group and limit set of a bounded domain II: the convex case
Andrew Zimmer
For convex domains with boundary we give a precise description of the automorphism group: if an orbit of the automorphism group accumulates on at least two different clos…