Liouville type currents for holomorphic maps.
type: Item
instance of: scholarly article
title: Liouville type currents for holomorphic maps.
zbMATH Open document ID: 1022.32012
DOI: 10.1016/S1631-073X(02)02558-X
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2003-05-27T00:00:00Z
review text: It is shown: every regularized positiv closed current \(T\) with slow growth on a Kähler manifold \(M\) is a Liouville current with respect to the class of holomorphic maps bounded on the support of \(T\) with values on a Kähler manifold \(N\) whose Kähler form is exact. A Cassorati-Weierstrass type theorem [see \textit{K. Takegoshi}, J. Math. Soc. Japan 45, No. 2, 301-311 (1993; Zbl 0788.32004)] and conditions when a complete Kähler manifold \(M\) with nonnegative Ricci curvature at infinity can be a Liouville type are established.
reviewed by: Maido Rahula
Mathematics Subject Classification ID: 32U40
Mathematics Subject Classification ID: 58A25
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 32C30
Mathematics Subject Classification ID: 32Q15
zbMATH DE Number: 1921071
zbMATH Keywords: Kähler-Liouville manifold
zbMATH Keywords: current
author: Saïd Asserda
author: M'Hamed Kassi
MaRDI profile type: Publication
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full work available at URL: s1631-073x(02)02558-x
OpenAlex ID: W2094005584
description: scientific article; zbMATH DE number 1921071