Hodge decomposition theorem on strongly Kahler Finsler manifolds | |
Zhong, C. P. ; Zhong, T. D. ; Zhong CP(钟春平) | |
刊名 | http://dx.doi.org/10.1007/s11425-006-2055-8
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2006-09 | |
关键词 | COMPLEX MANIFOLDS LAPLACIAN SPACES |
英文摘要 | Faran posed an open problem about analysis on complex Finsler spaces: Is there an analogue of the partial derivative-Laplacian? Is there an analogue of Hodge theory? Under the assumption that (M, F) is a compact strongly Kahler Finsler manifold, we define a partial derivative-Laplacian on the base manifold. Our result shows that the well-known Hodge decomposition theorem in Kahler manifolds is still true in the more general compact strongly Kahler Finsler manifolds. |
语种 | 英语 |
内容类型 | 期刊论文 |
源URL | [http://dspace.xmu.edu.cn/handle/2288/66822] ![]() |
专题 | 数学科学-已发表论文 |
推荐引用方式 GB/T 7714 | Zhong, C. P.,Zhong, T. D.,Zhong CP. Hodge decomposition theorem on strongly Kahler Finsler manifolds[J]. http://dx.doi.org/10.1007/s11425-006-2055-8,2006. |
APA | Zhong, C. P.,Zhong, T. D.,&钟春平.(2006).Hodge decomposition theorem on strongly Kahler Finsler manifolds.http://dx.doi.org/10.1007/s11425-006-2055-8. |
MLA | Zhong, C. P.,et al."Hodge decomposition theorem on strongly Kahler Finsler manifolds".http://dx.doi.org/10.1007/s11425-006-2055-8 (2006). |
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