On the relative intrinsic pseudo distance and the hyperbolic imbeddability.
type: Item
instance of: scholarly article
title: On the relative intrinsic pseudo distance and the hyperbolic imbeddability.
zbMATH Open document ID: 1034.32016
author: Pham Viet Duc
author: Nguyen Doan Tuan
published in: Acta Mathematica Vietnamica
publication date: 2002-01-01T00:00:00Z
review text: The authors establish a relation between the Kobayashi relative intrinsic distance on holomorphic fiber bundles and one in the base space. Moreover, they prove the following: Suppose that \((\overline Z,\pi, Z)\) is a fiber bundle with compact hyperbolic fiber over a complex manifold \(Z\) and \(M\subset Z\) is a complex subspace with \(d_{M,Z}\) that induces the given topology on \(\overline M\). Then \(M\) is hyperbolically imbedded in \(Z\) if and only if \(\pi^{-1}(M)\) is hyperbolically imbedded in \(\overline Z\).
reviewed by: Yoshihiro Aihara
Mathematics Subject Classification ID: 32Q45
Mathematics Subject Classification ID: 32F45
Mathematics Subject Classification ID: 32C20
zbMATH DE Number: 1941852
zbMATH Keywords: Kobayashi distance
zbMATH Keywords: hyperbolic imbeddability
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1941852