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標題Title: REGULARITY AND RIGIDITY OF ASYMPTOTICALLY HYPERBOLIC MANIFOLDS
作者Authors: XUE HU , JIE QING AND YUGUANG SHI
上傳單位Department: 電子工程系
上傳時間Date: 2012-12-8
上傳者Author: 傅俊結
審核單位Department: 電子工程系
審核老師Teacher: 傅俊結
檔案類型Categories: 論文Thesis
關鍵詞Keyword: hyperbolic
摘要Abstract: In this paper, we study some intrinsic characterization of conformally compact manifolds. We show that, if a complete Riemannian manifold admits an essential set and its curvature tends to −1 at infinity in certain rate, then it is conformally compactifiable and the compactified metrics can enjoy some regularity at infinity. As consequences we prove some rigidity theorems for complete manifolds whose curvature tends to the hyperbolic one in a rate greater than 2.

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2012_12_5124e95e.pdf 335Kb pdf 104 11
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