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標題Title: A NOTE ON STATIC SPACES AND RELATED PROBLEMS
作者Authors: JIE QING AND WEI YUAN
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: riemann manifolds
摘要Abstract: Inthispaperwestudystaticspacesintroducedin[10,12,9,13,7] and Riemannian manifolds possessing solutions to the critical point equation introduced in [1, 11, 3, 4]. In both cases on the manifolds there is a function f satisfying the equation
fRic = ∇2f + Φg.
With a similar idea used in [6, 5], we have made progress in solving the classify- ing problem raised in [9] of vacuum static spaces and in proving the conjecture made in [1] about manifolds admitting solutions to the critical point equation
in general dimensions. We obtain even stronger results in dimension 3.

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2012_12_c93b1434.pdf 192Kb pdf 103 13
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