Prescribed Q-curvature problem on closed 4-Riemannian manifolds in the null case

被引：0
|
作者：
Yuxin Ge
Xingwang Xu
机构：
[1] Université Paris XII-Val de Marne,Laboratoire d’Analyse et de Mathématiques Appliquées, CNRS UMR 8050, Département de Mathématiques
[2] National University of Singapore,Department of Mathematics
来源：
Calculus of Variations and Partial Differential Equations | 2008年 / 31卷
关键词：
Primary: 53C21; Secondary: 58j60;
D O I：
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中图分类号：
学科分类号：
摘要：
The main objective of this short note is to give a sufficient condition for a non constant function k to be Q curvature candidate for a conformal metric on a closed Riemannian manifold with the null Q-curvature. In contrast to the prescribed scalar curvature on the two-dimensional flat tori, the condition we provided is not necessary as some examples show.
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页码：549 / 555
页数：6
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