English

A classification of Thurston geometries without compact quotients

Differential Geometry 2014-03-10 v1

Abstract

We classify pairs (M,G)(M,G) where MM is a 33--dimensional simply connected smooth manifold and GG a Lie group acting on MM transitively, effectively with compact isotropy group.

Keywords

Cite

@article{arxiv.1403.1726,
  title  = {A classification of Thurston geometries without compact quotients},
  author = {Panagiotis Konstantis and Frank Loose},
  journal= {arXiv preprint arXiv:1403.1726},
  year   = {2014}
}