3 papers
math.DG2024
Gromov hyperbolicity of intrinsic metrics from isoperimetric inequalities
Tianqi Wang, Andrew Zimmer
In this paper we investigate the Gromov hyperbolicity of the classical Kobayashi and Hilbert metrics, and the recently introduced minimal metric. Using the linear isoperimetric ine…
math.CV2023
Smooth equivalence of families of strongly pseudoconvex domains
Hervé Gaussier, Xianghong Gong, Andrew Zimmer
We establish a smoothness result for families of biholomorphisms between smooth families of strongly pseudoconvex domains, each with trivial biholomorphism group. This is accomplis…
math.CV2023
A rigidity result for proper holomorphic maps between balls
Edgar Gevorgyan, Haoran Wang, Andrew Zimmer
In this note, we prove a rigidity result for proper holomorphic maps between unit balls that have many symmetries and which extend to -smooth maps on the boundary.