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標題Title: SPECTRAL CHARACTERIZATION OF POINCARE ́-EINSTEIN MANIFOLDS WITH INFINITY OF POSITIVE YAMABE TYPE
作者Authors: COLIN GUILLARMOU AND JIE QING
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: green function
摘要Abstract: In this paper, we give a sharp spectral characterization of conformally com-
pact Einstein manifolds with conformal infinity of positive Yamabe type in dimension
n + 1 > 3. More precisely, we prove that the largest real scattering pole of a conformally
compact Einstein manifold (X, g) is less than n − 1 if and only if the conformal infinity 2
of (X, g) is of positive Yamabe type. If this positivity is satisfied, we also show that the Green function of the fractional conformal Laplacian P(α) on the conformal infinity is non-negative for all α ∈ [0, 2].

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2012_12_6260861c.pdf 220Kb pdf 94 10
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