Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606111 | Differential Geometry and its Applications | 2014 | 20 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jinling Li, Chunhui Qiu, Tongde Zhong,