Integral formulas for differential forms of type (p,q) on complex Finsler manifolds  

作　　者：QIU Chunhui ZHONG Tongde 

机构地区：[1]Department of Mathematics, Xiamen University, Xiamen 361005, China Department of Mathematics, Xiamen University, Xiamen 361005, China

出　　处：《Science China Mathematics》2004年第2期284-296,共13页中国科学：数学（英文版）

基　　金：This work was supported by the National Natural Science Foundation and Mathematical Tianyuan Foundation of China and the Natural Science Foundation of Fujian(Grant No.10271097,TY10126033,F0110012).

摘　　要：Using the invariant integral kernel introduced by Demailly and Laurent-Thiebaut, complex Finsler metric and nonlinear connection associating with Chern-Finsler connection, we research the integral representation theory on complex Finsler manifolds. The Koppelman and Koppelman-Leray formulas are obtained, and the \(\overline \partial \)-equations are solved.Using the invariant integral kernel introduced by Demailly and Laurent-Thiebaut,complex Finsler metric and nonlinear connection associating with Chern-Finsler connection, we research the integral representation theory on complex Finsler manifolds. The Koppelman and Koppelman-Leray formulas are obtained, and the (θ)-equations are solved.

关 键 词：complex Finsler manifold Chern-Finsler connection invariant integral kernel Koppelman-Leray formula $$\overline \partial  $$  -equation 

分 类 号：O1[理学—数学]