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Integral formulas for differential forms of type (p,q) on complex Finsler manifolds
引用本文:QIU Chunhui & ZHONG TongdeDepartment of Mathematics,Xiamen University,Xiamen 361005,China. Integral formulas for differential forms of type (p,q) on complex Finsler manifolds[J]. 中国科学A辑(英文版), 2004, 47(2): 284-296. DOI: 10.1360/01ys0306
作者姓名:QIU Chunhui & ZHONG TongdeDepartment of Mathematics  Xiamen University  Xiamen 361005  China
作者单位:QIU Chunhui & ZHONG TongdeDepartment of Mathematics,Xiamen University,Xiamen 361005,China
基金项目:国家自然科学基金,福建省自然科学基金
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 -equations are solved.


Integral formulas for differential forms of type (p,q) on complex Finsler manifolds
Chunhui Qiu,Tongde Zhong. Integral formulas for differential forms of type (p,q) on complex Finsler manifolds[J]. Science in China(Mathematics), 2004, 47(2): 284-296. DOI: 10.1360/01ys0306
Authors:Chunhui Qiu  Tongde Zhong
Affiliation:Department of Mathematics, Xiamen University, Xiamen 361005, China
Abstract: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 -equations are solved.
Keywords:complex Finsler manifold   Chern-Finsler connection   invariant integral kernel   Koppelman-Leray formula  e-equation.
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