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標題Title: A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound
作者Authors: YanYan Li and Luc Nguyen
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: yamabe problem
摘要Abstract: We prove compactness of solutions of a fully nonlinear Yamabe problem satisfying a lower Ricci curvature bound, when the manifold is not conformally diffeomorphic to the standard sphere. This allows us to prove the existence of solutions when the associated cone Γ satisfies μ+Γ ≤ 1, which includes the σk−Yamabe problem for k not smaller than half of the dimension of the mani- fold.

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2012_12_ed90e93d.pdf 338Kb pdf 96 8
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