English

Ancient solutions to the Ricci flow with pinched curvature

Differential Geometry 2019-12-19 v2 Analysis of PDEs

Abstract

We show that any ancient solution to the Ricci flow which satisfies a suitable curvature pinching condition must have constant sectional curvature.

Keywords

Cite

@article{arxiv.0912.0498,
  title  = {Ancient solutions to the Ricci flow with pinched curvature},
  author = {S. Brendle and G. Huisken and C. Sinestrari},
  journal= {arXiv preprint arXiv:0912.0498},
  year   = {2019}
}

Comments

to appear in Duke Math Journal