English

A generalization of Hamilton's differential Harnack inequality for the Ricci flow

Differential Geometry 2008-09-25 v2 Analysis of PDEs

Abstract

In [10], R. Hamilton established a differential Harnack inequality for solutions to the Ricci flow with nonnegative curvature operator. We show that this inequality holds under the weaker condition that M x R^2 has nonnegative isotropic curvature.

Keywords

Cite

@article{arxiv.0707.2192,
  title  = {A generalization of Hamilton's differential Harnack inequality for the Ricci flow},
  author = {S. Brendle},
  journal= {arXiv preprint arXiv:0707.2192},
  year   = {2008}
}

Comments

revised version, to appear in J. Diff. Geom