L-p-estimates and existence theorems for the partial derivative-operator on complete Kahler manifolds

doi:10.1016/j.aim.2009.12.007

CSpace > 应用数学研究所

	L-p-estimates and existence theorems for the partial derivative-operator on complete Kahler manifolds
	Li, Xiang-Dong1,2,3
	2010-06-01
发表期刊	ADVANCES IN MATHEMATICS
ISSN	0001-8708
卷号	224 期号:2 页码:620-647
摘要	In this paper we establish some L-p-estimates and existence theorems for the partial derivative-operator on a holomorphic Hermitian vector bundle over a complete Kahler manifold. As applications, we prove some vanishing theorems of the L-p-Dolbeault cohomology on complete Kahler manifolds with suitable geometric conditions. (C) 2009 Elsevier Inc. All rights reserved.
关键词	Kodaira Laplacian partial derivative-Operator L-p-estimates and existence theorem L-p-cohomology Bochner-Lichnerowicz-Weitzenbock formula
DOI	10.1016/j.aim.2009.12.007
语种	英语
资助项目	Delegation au CNRS at the Universite Paris-Sud[2005-2006] ; Institute of Mathematical Research of Hong Kong University ; Key Laboratory RCSDS ; CAS[2008DP173182] ; NSFC[10971032] ; Shanghai Pujiang Talent Plan[09PJ1401600]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000276586200010
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10209
专题	应用数学研究所
通讯作者	Li, Xiang-Dong
作者单位	1.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 2.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China 3.Univ Toulouse 3, Inst Math, F-31062 Toulouse 9, France
推荐引用方式 GB/T 7714	Li, Xiang-Dong. L-p-estimates and existence theorems for the partial derivative-operator on complete Kahler manifolds[J]. ADVANCES IN MATHEMATICS,2010,224(2):620-647.
APA	Li, Xiang-Dong.(2010).L-p-estimates and existence theorems for the partial derivative-operator on complete Kahler manifolds.ADVANCES IN MATHEMATICS,224(2),620-647.
MLA	Li, Xiang-Dong."L-p-estimates and existence theorems for the partial derivative-operator on complete Kahler manifolds".ADVANCES IN MATHEMATICS 224.2(2010):620-647.