English

Geometry of Complete Gradient Shrinking Ricci Solitons

Differential Geometry 2011-02-09 v2

Abstract

We survey some of the recent progress on complete gradient shrinking Ricci solitons, including the classifications in dimension three and asymptotic behavior of potential functions as well as volume growths of geodesic balls in higher dimensions. This article is written for the conference proceedings dedicated to Yau's 60th birthday.

Keywords

Cite

@article{arxiv.0903.3927,
  title  = {Geometry of Complete Gradient Shrinking Ricci Solitons},
  author = {Huai-Dong Cao},
  journal= {arXiv preprint arXiv:0903.3927},
  year   = {2011}
}

Comments

16 pages; updated version