Equivariant Yamabe problem and Hebey-Vaugon conjecture

被引：8
|
作者：
Madani, Farid [1 ]
机构：
[1] Univ Paris 06, F-75252 Paris, France
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2010年 / 258卷 / 01期
关键词：
Conformal metric; Isometry group; Scalar curvature; Yamabe problem; SCALAR CURVATURE;
D O I：
10.1016/j.jfa.2009.10.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In their study of the Yamabe problem in the presence of isometry groups, E. Hebey and M. Vaugon announced a conjecture. This conjecture generalizes T. Aubin's conjecture, which has already been proven and is sufficient to solve the Yamabe problem. In this paper, we generalize Aubin's theorem and we prove the Hebey-Vaugon conjecture in dimensions less or equal to 37. (C) 2009 Elsevier Inc. All rights reserved.
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页码：241 / 254
页数：14
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