English

Higher dimensional steady Ricci solitons with linear curvature decay

Differential Geometry 2017-11-07 v2

Abstract

We prove that any noncompact κ\kappa-noncollapsed steady Ricci soliton with nonnegative curvature operator must be rotationally symmetric if it has a linear curvature decay.

Keywords

Cite

@article{arxiv.1710.07815,
  title  = {Higher dimensional steady Ricci solitons with linear curvature decay},
  author = {Yuxing Deng and Xiaohua Zhu},
  journal= {arXiv preprint arXiv:1710.07815},
  year   = {2017}
}

Comments

We improve the main results in the previous version of paper without the assumption of positive Ricci curvature