Volume Comparison of Conformally Compact Manifolds with Scalar Curvature R >= -n (n-1)

doi:10.1007/s00023-015-0411-3

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	Volume Comparison of Conformally Compact Manifolds with Scalar Curvature R >= -n (n-1)
	Hu, Xue 1; Ji, Dandan 2; Shi, Yuguang 2
	2016-04-01
发表期刊	ANNALES HENRI POINCARE
ISSN	1424-0637
卷号	17 期号:4 页码:953-977
摘要	In this paper, we use the normalized Ricci-DeTurk flow to prove a stability result for strictly stable conformally compact Einstein manifolds. As an application, we show a local volume comparison of conformally compact manifolds with scalar curvature R a parts per thousand yen -n (n - 1) and also the rigidity result when certain relative volume is zero.
DOI	10.1007/s00023-015-0411-3
语种	英语
资助项目	China Postdoctoral Science Foundation[2012M520414] ; NSF[10990013]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Particles & Fields ; Physics, Mathematical
WOS记录号	WOS:000372298100007
出版者	SPRINGER BASEL AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22287
专题	中国科学院数学与系统科学研究院
通讯作者	Hu, Xue; Ji, Dandan; Shi, Yuguang
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Peking Univ, Sch Math Sci, Key Lab Pure & Appl Math, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Hu, Xue,Ji, Dandan,Shi, Yuguang. Volume Comparison of Conformally Compact Manifolds with Scalar Curvature R >= -n (n-1)[J]. ANNALES HENRI POINCARE,2016,17(4):953-977.
APA	Hu, Xue,Ji, Dandan,&Shi, Yuguang.(2016).Volume Comparison of Conformally Compact Manifolds with Scalar Curvature R >= -n (n-1).ANNALES HENRI POINCARE,17(4),953-977.
MLA	Hu, Xue,et al."Volume Comparison of Conformally Compact Manifolds with Scalar Curvature R >= -n (n-1)".ANNALES HENRI POINCARE 17.4(2016):953-977.