English

Dimensional reduction and the long-time behavior of Ricci flow

Differential Geometry 2010-04-08 v4

Abstract

If g(t) is a three-dimensional Ricci flow solution, with sectional curvatures that decay like the inverse of t and diameter that increases at most like the square root of t, then the pullback Ricci flow solution on the universal cover approaches a homogeneous expanding soliton.

Keywords

Cite

@article{arxiv.0711.4063,
  title  = {Dimensional reduction and the long-time behavior of Ricci flow},
  author = {John Lott},
  journal= {arXiv preprint arXiv:0711.4063},
  year   = {2010}
}

Comments

final version

R2 v1 2026-06-21T09:47:20.893Z