Laplacian on complex Finsler manifolds

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	Laplacian on complex Finsler manifolds
	Xiao, Jinxiu ; Zhong, Tongde ; Qiu, Chunhui ; Qiu CH(邱春晖)
刊名	http://dx.doi.org/10.1007/s11401-011-0661-4
	2011-07
关键词	HODGE DECOMPOSITION THEOREM HARMONIC MAPS ANALYTICITY
英文摘要	National Natural Science Foundation of China [10871145, 10771174]; Doctoral Program Foundation of the Ministry of Education of China [2009007Q110053]; In this paper, the Laplacian on the holomorphic tangent bundle T (1,0) M of a complex manifold M endowed with a strongly pseudoconvex complex Finsler metric is defined and its explicit expression is obtained by using the Chern Finsler connection associated with (M, F). Utilizing the initiated "Bochner technique", a vanishing theorem for vector fields on the holomorphic tangent bundle T (1,0) M is obtained.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66710]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Xiao, Jinxiu,Zhong, Tongde,Qiu, Chunhui,et al. Laplacian on complex Finsler manifolds[J]. http://dx.doi.org/10.1007/s11401-011-0661-4,2011.
APA	Xiao, Jinxiu,Zhong, Tongde,Qiu, Chunhui,&邱春晖.(2011).Laplacian on complex Finsler manifolds.http://dx.doi.org/10.1007/s11401-011-0661-4.
MLA	Xiao, Jinxiu,et al."Laplacian on complex Finsler manifolds".http://dx.doi.org/10.1007/s11401-011-0661-4 (2011).