The Webster scalar curvature flow on CR sphere. Part I
Differential Geometry
2014-11-14 v1 Analysis of PDEs
Complex Variables
Abstract
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.
Keywords
Cite
@article{arxiv.1410.5534,
title = {The Webster scalar curvature flow on CR sphere. Part I},
author = {Pak Tung Ho},
journal= {arXiv preprint arXiv:1410.5534},
year = {2014}
}
Comments
To appear in Advances in Mathematics