集美大学学报（自然科学版）2026，Vol.31Issue(4)：492-498,7.DOI:10.19715/j.jmuzr.2026.04.10
复Finsler流形上的一类消没定理
A Class of Vanishing Theorems on Complex Finsler Manifolds
摘要
Abstract
In this paper,we study a class of vanishing theorems on strongly pseudoconvex complex Finsler manifolds.First,we introduce several curvatures of the Chern-Finsler connection,which include the first and second holomorphic bisectional curvatures,the holomorphic Ricci curvature,the Ricci curvature tensor,and the scalar curvature.Next,we use the Bochner technique to prove the vanishing theorems for holomorphic 1-forms and holomorphic n-forms on strongly pseudoconvex complex Finsler manifolds.关键词
复Finsler流形/全纯Ricci曲率/数量曲率/Bochner技巧/消没定理Key words
complex Finsler manifolds/holomorphic Ricci curvature/scalar curvature/Bochner technique/vanishing theorems分类
数理科学引用本文复制引用
李锦玲,许磊..复Finsler流形上的一类消没定理[J].集美大学学报（自然科学版）,2026,31(4):492-498,7.基金项目
国家自然科学基金项目(12471080) （12471080）
