The Webster scalar curvature flow on CR sphere. Part I

被引：18

作者：

Ho, Pak Tung ^{[1
]}

机构：

[1] Sogang Univ, Dept Math, Seoul 121742, South Korea

来源：

ADVANCES IN MATHEMATICS | 2015年 / 268卷

基金：

新加坡国家研究基金会;

关键词：

Webster scalar curvature; CR sphere; CR Yamabe problem; YAMABE FLOW; CONFORMAL DEFORMATION; PERTURBATION RESULT; CONVERGENCE; MANIFOLDS; EXISTENCE; CONSTANTS; METRICS; THEOREM;

D O I：

10.1016/j.aim.2014.10.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This is the first of two papers, in which we prove some properties of the Webster scalar curvature flow. More precisely, we establish the long-time existence, L-p convergence and the blow-up analysis for the solution of the flow. As a by-product, we prove the convergence of the CR Yamabe flow on the CR sphere. The results in this paper will be used to prove a result of prescribing Webster scalar curvature on the CR sphere, which is the main result of the second paper. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：758 / 835

页数：78

共 46 条

[21] Sharp constants in several inequalities on the Heisenberg group [J].