Holomorphic Sectional Curvature of Complex Finsler Manifolds

In this paper, we get an inequality in terms of holomorphic sectional curvature of complex Finsler metrics. As applications, we prove a Schwarz Lemma from a complete Riemannian manifold to a complex Finsler manifold. We also show that a strongly pseudoconvex complex Finsler manifold with semi-positi...

Descripción completa

Detalles Bibliográficos
Autor principal: Wan, Xueyuan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6325100/
https://www.ncbi.nlm.nih.gov/pubmed/30686908
http://dx.doi.org/10.1007/s12220-018-9985-6
_version_ 1783386075239022592
author Wan, Xueyuan
author_facet Wan, Xueyuan
author_sort Wan, Xueyuan
collection PubMed
description In this paper, we get an inequality in terms of holomorphic sectional curvature of complex Finsler metrics. As applications, we prove a Schwarz Lemma from a complete Riemannian manifold to a complex Finsler manifold. We also show that a strongly pseudoconvex complex Finsler manifold with semi-positive but not identically zero holomorphic sectional curvature has negative Kodaira dimension under an extra condition.
format Online
Article
Text
id pubmed-6325100
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher Springer US
record_format MEDLINE/PubMed
spelling pubmed-63251002019-01-23 Holomorphic Sectional Curvature of Complex Finsler Manifolds Wan, Xueyuan J Geom Anal Article In this paper, we get an inequality in terms of holomorphic sectional curvature of complex Finsler metrics. As applications, we prove a Schwarz Lemma from a complete Riemannian manifold to a complex Finsler manifold. We also show that a strongly pseudoconvex complex Finsler manifold with semi-positive but not identically zero holomorphic sectional curvature has negative Kodaira dimension under an extra condition. Springer US 2018-01-25 2019 /pmc/articles/PMC6325100/ /pubmed/30686908 http://dx.doi.org/10.1007/s12220-018-9985-6 Text en © The Author(s) 2018 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Wan, Xueyuan
Holomorphic Sectional Curvature of Complex Finsler Manifolds
title Holomorphic Sectional Curvature of Complex Finsler Manifolds
title_full Holomorphic Sectional Curvature of Complex Finsler Manifolds
title_fullStr Holomorphic Sectional Curvature of Complex Finsler Manifolds
title_full_unstemmed Holomorphic Sectional Curvature of Complex Finsler Manifolds
title_short Holomorphic Sectional Curvature of Complex Finsler Manifolds
title_sort holomorphic sectional curvature of complex finsler manifolds
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6325100/
https://www.ncbi.nlm.nih.gov/pubmed/30686908
http://dx.doi.org/10.1007/s12220-018-9985-6
work_keys_str_mv AT wanxueyuan holomorphicsectionalcurvatureofcomplexfinslermanifolds

Ejemplares similares