Schwarz lemma from a Kähler manifold into a complex Finsler manifold
type: Item
instance of: scholarly article
title: Schwarz lemma from a Kähler manifold into a complex Finsler manifold
zbMATH Open document ID: 1500.53080
author: Jun Nie
author: Chunping Zhong
published in: Science China. Mathematics
publication date: 2022-07-26T00:00:00Z
full work available at URL: https://arxiv.org/abs/2105.08720
review text: In the present paper the authors establish a Schwarz lemma for holomorphic mappings \(f\) from \(M\) into \(N\) where \(M\) complete Kähler manifold and \(N\) strongly pseudoconvex complex Finsler manifold such that its holomorphic sectional curvature is bounded from above by a negative constant. Further, to show its applications, they obtain a Liouville-type rigidity result for holomorphic mappings \(f\) from \(M\) into \(N\), as well as a rigidity theorem for bimeromorphic mappings from a compact complex manifold into a compact complex Finsler manifold.
reviewed by: V. K. Chaubey
Mathematics Subject Classification ID: 53C60
Mathematics Subject Classification ID: 53C56
Mathematics Subject Classification ID: 32H02
zbMATH DE Number: 7563252
zbMATH Keywords: Schwarz lemma
zbMATH Keywords: Kähler manifold
zbMATH Keywords: complex Finsler manifold
zbMATH Keywords: holomorphic sectional curvature
MaRDI profile type: Publication
OpenAlex ID: W3202612535
Wikidata QID: Q124830200
arXiv ID: 2105.08720
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DOI: 10.1007/S11425-021-1878-9
description: scientific article