Horizontal ∂-Laplacian on complex Finsler manifolds  

作　　者：ZHONG Chunping & ZHONG Tongde School of Mathematics Science, Xiamen University, Xiamen 361005, China 

出　　处：《Science China Mathematics》2005年第z1期377-391,共15页中国科学：数学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.10271097);Research Foundation of Xiamen University(No.Y07013).

摘　　要：A horizontal (?)-Laplacian is defined on strongly pseudoconvex complex Finsler manifolds, first for functions and then for horizontal differential forms of type (p,q). The principal part of the (?)-Laplacian is computed in local coordinates. As an application, the (?)-Laplacian on strongly Kahler Finsler manifold is obtained explicitly in terms of the horizontal covariant derivatives of the Chern-Finsler conncetion.

关 键 词：complex Finsler manifold Kahler Finsler manifold ■-Laplacian horizontal. 

分 类 号：O177[理学—数学]