3d steady Gradient Ricci Solitons with linear curvature decay
Differential Geometry
2016-12-20 v1
Abstract
In this note, we prove that a 3-dimensional steady Ricci soliton is rotationally symmetric if its scalar curvature satisfies for some constant , where denotes the distance from a fixed point . Our result doesn't assume that the soliton is -noncollapsed.
Keywords
Cite
@article{arxiv.1612.05713,
title = {3d steady Gradient Ricci Solitons with linear curvature decay},
author = {Yuxing Deng and Xiaohua Zhu},
journal= {arXiv preprint arXiv:1612.05713},
year = {2016}
}