English

On some new Ricci flow invariant curvature conditions

Differential Geometry 2024-12-19 v1

Abstract

We would like to study new Ricci flow invariant curvature conditions. Specifically, we provide quantitative evidence for an unpublished conjecture of B\"ohm and Wilking. As an application, we study the topology of manifolds with pinched curvature.

Keywords

Cite

@article{arxiv.2412.13633,
  title  = {On some new Ricci flow invariant curvature conditions},
  author = {Yiyan Xu},
  journal= {arXiv preprint arXiv:2412.13633},
  year   = {2024}
}