English

Backward Ricci Flow on Locally Homogeneous 4-Manifolds

Differential Geometry 2015-08-03 v1

Abstract

In this paper we study backward Ricci flow of locally homogeneous geometries of 44-manifolds which admit compact quotients. We describe the long-term behavior of each class and show that many of the classes exhibit the same behavior near the singular time. In most cases, these manifolds converge to a sub-Riemannian geometry after suitable rescaling.

Keywords

Cite

@article{arxiv.1507.08988,
  title  = {Backward Ricci Flow on Locally Homogeneous 4-Manifolds},
  author = {Thomas Bell},
  journal= {arXiv preprint arXiv:1507.08988},
  year   = {2015}
}