English

Uniqueness of gradient Ricci solitons

Differential Geometry 2011-03-30 v2

Abstract

We show that a three-dimensional steady gradient Ricci soliton which is asymptotic to the Bryant soliton in a suitable sense must be isometric to the Bryant soliton.

Keywords

Cite

@article{arxiv.1010.3684,
  title  = {Uniqueness of gradient Ricci solitons},
  author = {S. Brendle},
  journal= {arXiv preprint arXiv:1010.3684},
  year   = {2011}
}

Comments

revised version, to appear in Math. Res. Letters

R2 v1 2026-06-21T16:30:17.277Z