凸复Finsler流形上的Hopf-Rinow定理  

Hopf-Rinow Theorem on Convex Complex Finsler Manifolds

作　　者：李鸿军 LI Hong-jun(School of Mathematics and Statistics,Henan University,Kaifeng 475004,China)

机构地区：[1]School of Mathematics and Statistics,Henan University,Kaifeng 475004,China

出　　处：《Chinese Quarterly Journal of Mathematics》2024年第1期31-45,共15页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.12001165).

摘　　要：Suppose(M,F) is a convex complex Finsler manifold. We prove that geodesics of(M,F) are locally minimizing. Hence, F introduces a distance function d such that(M,d) is a metric space from topology. Next, we prove the classical Hopf-Rinow Theorem holds on(M,F).

关 键 词：GEODESIC Distance function Hopf-Rinow Theorem 

分 类 号：O187.1[理学—数学]