BOCHNER TECHNIQUE ON STRONG KHLER-FINSLER MANIFOLDS

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	BOCHNER TECHNIQUE ON STRONG KHLER-FINSLER MANIFOLDS
	Xiao JX(肖金秀) ; Zhong TD(钟同德) ; Qiu CH(邱春晖)
刊名	http://epub.cnki.net/grid2008/brief/detailj.aspx?filename=SXWY201001009&dbname=CJFQ2010
	2010-01-15
关键词	Bochner technique strong Khler-Finsler manifold horizontal Hodge-Laplace operator Weitzenbck formula
英文摘要	By using the Chern-Finsler connection and complex Finsler metric,the Bochner technique on strong Khler-Finsler manifolds is studied.For a strong Khler-Finsler manifold M,the authors first prove that there exists a system of local coordinate which is normalized at a point v ∈ M-=T 1,0M\o(M),and then the horizontal Laplace operator H for diffierential forms on PTM is defined by the horizontal part of the Chern-Finsler connection and its curvature tensor,and the horizontal Laplace operator H on holomorphic vector bundle over PTM is also defined.Finally,we get a Bochner vanishing theorem for diffierential forms on PTM.Moreover,the Bochner vanishing theorem on a holomorphic line bundle over PTM is also obtained
语种	中文
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/19017]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Xiao JX,Zhong TD,Qiu CH. BOCHNER TECHNIQUE ON STRONG KHLER-FINSLER MANIFOLDS[J]. http://epub.cnki.net/grid2008/brief/detailj.aspx?filename=SXWY201001009&dbname=CJFQ2010,2010.
APA	肖金秀,钟同德,&邱春晖.(2010).BOCHNER TECHNIQUE ON STRONG KHLER-FINSLER MANIFOLDS.http://epub.cnki.net/grid2008/brief/detailj.aspx?filename=SXWY201001009&dbname=CJFQ2010.
MLA	肖金秀,et al."BOCHNER TECHNIQUE ON STRONG KHLER-FINSLER MANIFOLDS".http://epub.cnki.net/grid2008/brief/detailj.aspx?filename=SXWY201001009&dbname=CJFQ2010 (2010).