On the lower bounds of the curvatures in a bounded domain

CSpace

	On the lower bounds of the curvatures in a bounded domain
其他题名	On the lower bounds of the curvatures in a bounded domain
	Lu QiKeng
	2015
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	58 期号:1 页码:1-10
摘要	Let be the Bergman kernel of a bounded domain in a", (n) and Sect (D) (z, xi) and Ricci (D) (z, xi) be the holomorphic sectional curvature and Ricci curvature of the Bergman metric respectively at the point with tangent vector xi. It is proved by constructing suitable minimal functions that where z, is a ball contained in and is a ball containing D.
其他摘要	Let K_D(z, z) be the Bergman kernel of a bounded domain D in C~n and Sect_D(z, ξ) and Ricci_D(z, ξ) be the holomorphic sectional curvature and Ricci curvature of the Bergman metric ds~2 = T_(αβ)~D (z, z)dz~αdz~β respectively at the point z ∈ D with tangent vector ξ. It is proved by constructing suitable minimal functions that and where z ∈ D_1 ? D ? D_2, D_1 is a ball contained in D and D_2 is a ball containing D.
关键词	minimal function minimal integral lower bound
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China]
CSCD记录号	CSCD:5386220
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/53646
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Lu QiKeng. On the lower bounds of the curvatures in a bounded domain[J]. SCIENCE CHINA-MATHEMATICS,2015,58(1):1-10.
APA	Lu QiKeng.(2015).On the lower bounds of the curvatures in a bounded domain.SCIENCE CHINA-MATHEMATICS,58(1),1-10.
MLA	Lu QiKeng."On the lower bounds of the curvatures in a bounded domain".SCIENCE CHINA-MATHEMATICS 58.1(2015):1-10.