A rigidity result for proper holomorphic maps between balls

DOI10.1090/proc/16717arXiv2305.18590MaRDI QIDQ6203192

Unnamed Author, Andrew M. Zimmer, Haoran Wang

Publication date: 27 February 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.18590

Mathematics Subject Classification ID

Rigidity results (53C24) Proper holomorphic mappings, finiteness theorems (32H35) Boundary regularity of mappings in several complex variables (32H40) Groups as automorphisms of other structures (22F50)

Cites Work

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• Symmetries in CR complexity theory
• Holomorphic immersions between compact hyperbolic space forms
• Characterization of the unit ball in \(\mathbb{C}^n\) by its automorphism group
• Sur une caractérisation de la boule parmi les domaines de \(\mathbb{C}^n\) par son groupe d'automorphismes
• On a linearity problem for proper holomorphic maps between balls in complex spaces of different dimensions.
• Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains
• Symmetries and regularity for holomorphic maps between balls
• Dimension and rigidity of quasi-Fuchsian representations

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