Rigidity of proper holomorphic mappings between nonequidimensional bounded symmetric domains
type: Item
instance of: scholarly article
title: Rigidity of proper holomorphic mappings between nonequidimensional bounded symmetric domains
zbMATH Open document ID: 1020.32010
author: Zhenhan Tu
published in: Mathematische Zeitschrift
publication date: 2002-09-17T00:00:00Z
review text: Rigidity of proper holomorphic maps between bounded domains have been studied intensively. One direction studies maps between the unit balls, and another studies maps between bounded symmetric domains of higher rank. This paper falls into the second category. There have been earlier works in the case when the target domain has either smaller rank or dimensions, and this paper studies the rigidity problem when the target domain has larger rank and dimension. Specifically, it proves that any proper holomorphic map from \(D^I_{p, p-1}\) to \(D^I_{p,p}\) is a totally geodesic embedding and linearizable.
reviewed by: Lizhen Ji
Mathematics Subject Classification ID: 32H02
Mathematics Subject Classification ID: 32M15
zbMATH DE Number: 1801576
zbMATH Keywords: rigidity
zbMATH Keywords: holomorphic mappings
zbMATH Keywords: bounded symmetric domains
MaRDI profile type: Publication
full work available at URL: s002090100353
OpenAlex ID: W2109811965
DOI: 10.1007/S002090100353
description: scientific article; zbMATH DE number 1801576