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Volume Comparison of Conformally Compact Manifolds with Scalar Curvature R >= -n (n-1)
Hu, Xue ; Ji, Dandan ; Shi, Yuguang
2016
关键词ASYMPTOTICALLY HYPERBOLIC MANIFOLDS RICCI FLOW STABILITY METRICS
英文摘要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.; China Postdoctoral Science Foundation [2012M520414]; NSF [10990013]; SCI(E); ARTICLE; huxue@amss.ac.cn; jidandan@pku.edu.cn; ygshi@math.pku.edu.cn; 4; 953-977; 17
语种英语
出处SCI
出版者ANNALES HENRI POINCARE
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/438396]  
专题数学科学学院
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). 2016-01-01.
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