【摘 要】
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Let M be a compact complex manifold with a strongly pseudoconvex complex Finsler metric F,we define a natural projection of complex horizontal Laplacian on
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Let M be a compact complex manifold with a strongly pseudoconvex complex Finsler metric F,we define a natural projection of complex horizontal Laplacian on M,it is independent of the fiber coordinate.By using the Sobolev space theory and spectral resolution theory in a Hilbert space,we prove the Hodge theorem for the natural projection of complex horizontal Laplacian on M.Moreover,by means of the decomposition theorem of the self-adjoint elliptic operator,we also prove the Hodge theorem for the Hodge-Laplace operator on M.
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