集美大学学报（自然科学版）2026，Vol.31Issue(1)：115-120,6.DOI:10.19715/j.jmuzr.2026.01.11
复Finsler流形上的一类Schwarz引理
A Class of Schwarz Lemma on Complex Finsler Manifolds
摘要
Abstract
The paper proves a Schwarz lemma from a compact complex Finsler manifold(M,G)into the complex Finsler manifold(N,G1).In particular,it is assumed that G1 is an upper semicontinuous complex pseu-do-Finsler metric on N.As an application,we prove a Liouville type theorem on compact complex Finsler man-ifolds.For the non-compact case,we prove a Liouville type theorem from a complex plane into a complex Fin-sler manifold.关键词
复Finsler流形/全纯截面曲率/Schwarz引理/刘维尔定理Key words
complex Finsler manifold/holomorphic sectional curvature/Schwarz lemma/Liouville theorem分类
数理科学引用本文复制引用
李龙杰,李锦玲..复Finsler流形上的一类Schwarz引理[J].集美大学学报（自然科学版）,2026,31(1):115-120,6.基金项目
国家自然科学基金项目(11901592) （11901592）
