English

A note on the Hitchin-Thorpe inequality and Ricci flow on 4-manifolds

Differential Geometry 2011-03-08 v4

Abstract

In this short paper, we prove a Hitchin-Thorpe type inequality for closed 4-manifolds with non-positive Yamabe invariant, and admitting long time solutions of the normalized Ricci flow equation with bounded scalar curvature.

Keywords

Cite

@article{arxiv.0903.2539,
  title  = {A note on the Hitchin-Thorpe inequality and Ricci flow on 4-manifolds},
  author = {Yuguang Zhang and Zhenlei Zhang},
  journal= {arXiv preprint arXiv:0903.2539},
  year   = {2011}
}