Results of prescribing Q-curvature on S n

被引：6
|
作者：
Ho, Pak Tung [1 ]
机构：
[1] Sogang Univ, Dept Math, Seoul 121742, South Korea
来源：
ARCHIV DER MATHEMATIK | 2013年 / 100卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Q-curvature; Q-curvature flow; Sphere; 4TH-ORDER CONFORMAL INVARIANT; ZETA-FUNCTION DETERMINANTS; STANDARD SPHERE; FLOW; METRICS; CONVERGENCE; EXISTENCE;
D O I：
10.1007/s00013-012-0472-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using a flow approach, generalizing previous results from Chen and Xu [12] and Ho [20], an existence result of prescribing Q-curvature on the even-dimensional standard sphere S (n) as a given positive function f was obtained under suitable assumptions on the Morse index of f. In this note, we prove a more general existence result by assuming only that f is positive somewhere.
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页码：85 / 93
页数：9
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