复Finsler流形上的一类消没定理OA
A Class of Vanishing Theorems on Complex Finsler Manifolds
本文研究强拟凸复 Finsler 流形上的一类消没定理.首先,介绍了 Chern-Finsler 联络的若干曲率,其包括第一和第二全纯双截曲率、全纯 Ricci 曲率、Ricci 曲率张量和数量曲率;其次,利用 Bochner 技巧证明了强拟凸复 Finsler 流形上关于全纯1-形式和全纯 n-形式的消没定理.
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.
李锦玲;许磊
集美大学理学院,福建 厦门 361021集美大学理学院,福建 厦门 361021
数理科学
复Finsler流形全纯Ricci曲率数量曲率Bochner技巧消没定理
complex Finsler manifoldsholomorphic Ricci curvaturescalar curvatureBochner techniquevanishing theorems
《集美大学学报（自然科学版）》 2026 (4)
492-498,7
国家自然科学基金项目(12471080)
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