Prescribed Q-curvature flow on Sn

被引：7
|
作者：
Ho, Pak Tung [1 ]
机构：
[1] Sogang Univ, Dept Math, Seoul 121742, South Korea
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2012年 / 62卷 / 05期
关键词：
Q-curvature; Q-curvature flow; Sphere; CONSTANT Q-CURVATURE; 4TH-ORDER CONFORMAL INVARIANT; ZETA-FUNCTION DETERMINANTS; STANDARD SPHERE; METRICS; 4-MANIFOLDS; GEOMETRY; EQUATION; CLASSIFICATION; CONVERGENCE;
D O I：
10.1016/j.geomphys.2011.11.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the problem of prescribing Q-curvature on the even-dimensional standard sphere S-n as a given function f. Using the prescribed Q-curvature flow, which was initially studied by Malchiodi and Struwe on S-4, we prove an existence result under suitable assumptions on f. (C) 2011 Elsevier B.V. All rights reserved.
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页码：1233 / 1261
页数：29
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