Article ID Journal Published Year Pages File Type
4606111 Differential Geometry and its Applications 2014 20 Pages PDF
Abstract

Let M be a compact complex manifold with a complex Finsler metric F. We define a natural projection of complex horizontal Laplacian on M: it is independent of the fiber coordinate. By using Sobolev space theory and spectral resolution theory in Hilbert space, we prove the Hodge theorem for the natural projection of complex horizontal Laplacian on M.

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Physical Sciences and Engineering Mathematics Analysis
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