Classification of gradient steady Ricci solitons with linear curvature decay
Differential Geometry
2018-09-25 v1
Abstract
In this paper, we give a description for steady Ricci solitons with a linear decay of sectional curvature. In particular, we classify all 3-dimensional steady Ricci solitons and 4-dimensional -noncollpased steady Ricci solitons with nonnegative sectional curvature under the linear curvature decay.
Keywords
Cite
@article{arxiv.1809.08502,
title = {Classification of gradient steady Ricci solitons with linear curvature decay},
author = {Yuxing Deng and Xiaohua Zhu},
journal= {arXiv preprint arXiv:1809.08502},
year = {2018}
}