descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2004Publisher:World Scientific Pub Co Pte LtdJournal:Geometric Function Theory in Several Complex Variables

Authors: Qiu, CH; Zhong, TD; Fitzgerald, CH; Gong, S;

doi: 10.1142/9789812702500_0020 , 10.1360/01ys0306

INTEGRAL FORMULA FOR DIFFERENTIAL FORMS OF TYPE (P, Q) ON COMPLEX FINSLER MANIFOLDS

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Abstract

The authors adapt the technique of \textit{J.-P. Demailly} and \textit{C. Laurent-Thiébaut} [Ann. Sci. Éc. Norm. Supér., IV. Sér. 20, No. 4, 579--598 (1987; Zbl 0632.32004)] to construct integral representation formulas of Koppelman type on complex manifolds having a strongly pseudoconvex Finsler metric (rather than a Hermitian metric).

Related Organizations

Xiamen University
China (People's Republic of)

Keywords

Chern-Finsler connection, complex Finsler manifold, Global differential geometry of Finsler spaces and generalizations (areal metrics), invariant integral kernel, Integral representations; canonical kernels (Szegő, Bergman, etc.), Koppelman-Leray formula, partial derivative-equation, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, Other complex differential geometry

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