A fractional conformal curvature flow on the unit sphere
Differential Geometry
2021-11-23 v3 Analysis of PDEs
Abstract
We study a fractional conformal curvature flow on the standard unit sphere and prove a perturbation result of the fractional Nirenberg problem with fractional exponent . This extends the result of Chen-Xu (Invent. Math. 187, no. 2, 395-506, 2012) for the scalar curvature flow on the standard unit sphere.
Cite
@article{arxiv.1906.08434,
title = {A fractional conformal curvature flow on the unit sphere},
author = {Xuezhang Chen and Pak Tung Ho},
journal= {arXiv preprint arXiv:1906.08434},
year = {2021}
}
Comments
An intermediate version, still needs to be updated