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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