Homogeneous hyperbolic manifolds and homogeneous Siegel domains
type: Item
instance of: scholarly article
title: Homogeneous hyperbolic manifolds and homogeneous Siegel domains
zbMATH Open document ID: 0583.32066
author: Kazufumi Nakajima
published in: Journal of Mathematics of Kyoto University
publication date: 1985-01-01T00:00:00Z
review text: It is proved that a hyperbolic manifold admitting a transitive action of a Lie group is isomorphic to a homogeneous Siegel domain of second kind. As a consequence such a manifold is biholomorphic to a bounded homogeneous domain. This solves a problem posed by \textit{S. Kobayashi} in ''Hyperbolic manifolds and holomorphic mapping'' (1970; Zbl 0207.379).
Mathematics Subject Classification ID: 32M10
Mathematics Subject Classification ID: 32Q45
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 14M17
zbMATH DE Number: 3933488
zbMATH Keywords: homogeneous hyperbolic manifold
zbMATH Keywords: homogeneous Siegel domain of second kind
zbMATH Keywords: bounded homogeneous domain
reviewed by: Karl Oeljeklaus
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250521109
OpenAlex ID: W1604044292
DOI: 10.1215/KJM/1250521109
description: scientific article; zbMATH DE number 3933488