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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
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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