复Finsler流形的全纯截面曲率。

IF 1.2 2区数学 Q1 MATHEMATICS

Journal of Geometric Analysis Pub Date : 2019-01-01 Epub Date: 2018-01-25 DOI:10.1007/s12220-018-9985-6

Xueyuan Wan

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引用次数: 11

摘要

本文得到了一个关于复Finsler度量全纯截面曲率的不等式。作为应用，我们证明了一个从完全黎曼流形到复芬斯勒流形的Schwarz引理。我们还证明了具有半正但不等零全纯截面曲率的强伪凸复Finsler流形在一个附加条件下具有负的Kodaira维。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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-positive but not identically zero holomorphic sectional curvature has negative Kodaira dimension under an extra condition.

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来源期刊

Journal of Geometric Analysis 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

290

审稿时长

3 months

期刊介绍： JGA publishes both research and high-level expository papers in geometric analysis and its applications. There are no restrictions on page length.