Holomorphic maps from the complex unit ball to Type IV classical domains

Ming Xiao; Yuan Yuan

doi:10.1016/j.matpur.2019.05.009

Holomorphic maps from the complex unit ball to Type IV classical domains

Ming Xiao, Yuan Yuan

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

We prove rigidity results for holomorphic proper maps from the complex unit ball to the Type IV bounded symmetric domain when the codimension is small. In addition, a classification result is established in the codimension one case.

Original language	English (US)
Pages (from-to)	139-166
Number of pages	28
Journal	Journal des Mathematiques Pures et Appliquees
Volume	133
DOIs	https://doi.org/10.1016/j.matpur.2019.05.009
State	Published - Jan 2020

Keywords

Bergman metric
Bounded symmetric domain
Holomorphic isometry
Proper holomorphic map

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1016/j.matpur.2019.05.009

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title = "Holomorphic maps from the complex unit ball to Type IV classical domains",

abstract = "We prove rigidity results for holomorphic proper maps from the complex unit ball to the Type IV bounded symmetric domain when the codimension is small. In addition, a classification result is established in the codimension one case.",

keywords = "Bergman metric, Bounded symmetric domain, Holomorphic isometry, Proper holomorphic map",

author = "Ming Xiao and Yuan Yuan",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Masson SAS",

year = "2020",

month = jan,

doi = "10.1016/j.matpur.2019.05.009",

language = "English (US)",

volume = "133",

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AU - Xiao, Ming

AU - Yuan, Yuan

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N2 - We prove rigidity results for holomorphic proper maps from the complex unit ball to the Type IV bounded symmetric domain when the codimension is small. In addition, a classification result is established in the codimension one case.

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KW - Bergman metric

KW - Bounded symmetric domain

KW - Holomorphic isometry

KW - Proper holomorphic map

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JO - Journal des Mathematiques Pures et Appliquees

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ER -

Holomorphic maps from the complex unit ball to Type IV classical domains

Abstract

Keywords

ASJC Scopus subject areas

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