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

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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 \(\overline \partial \)-equations are solved.

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Authors and Affiliations

  1. Department of Mathematics, Xiamen University, 361005, Xiamen, China

    Chunhui Qiu & Tongde Zhong

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  1. Chunhui Qiu
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  2. Tongde Zhong
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Correspondence to Chunhui Qiu.

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Qiu, C., Zhong, T. Integral formulas for differential forms of type (p, q) on complex Finsler manifolds. Sci. China Ser. A-Math. 47, 284–296 (2004). https://doi.org/10.1360/01ys0306

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  • DOI: https://doi.org/10.1360/01ys0306

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