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Volume Comparison of Conformally Compact Manifolds with Scalar Curvature R >= -n (n-1)
Hu, Xue1; Ji, Dandan2; Shi, Yuguang2
2016-04-01
Source PublicationANNALES HENRI POINCARE
ISSN1424-0637
Volume17Issue:4Pages:953-977
AbstractIn 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.
DOI10.1007/s00023-015-0411-3
Language英语
Funding ProjectChina Postdoctoral Science Foundation[2012M520414] ; NSF[10990013]
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary ; Physics, Particles & Fields ; Physics, Mathematical
WOS IDWOS:000372298100007
PublisherSPRINGER BASEL AG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22287
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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