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).
中图分类号:
李鸿军. 凸复Finsler流形上的Hopf-Rinow定理[J]. 数学季刊, 2024, 39(1): 31-45.
LI Hong-jun. Hopf-Rinow Theorem on Convex Complex Finsler Manifolds[J]. Chinese Quarterly Journal of Mathematics, 2024, 39(1): 31-45.