On Lorentz spacetimes of constant curvature

François Guéritaud

On Lorentz spacetimes of constant curvature

Geometric Topology 2015-06-19 v1

Authors: François Guéritaud

Abstract

We describe in parallel the Lorentzian homogeneous spaces $G=\mathrm{PSL}(2,\mathbb{R})$ and $\mathfrak{g}=\mathfrak{psl}(2,\mathbb{R})$ , and review some recent results relating the geometry of their quotients by discrete groups.

Keywords

Lorentz spacetime constant curvature homogeneous space PSL(2,R) discrete group geometric topology

Cite

@article{arxiv.1506.05663,
  title  = {On Lorentz spacetimes of constant curvature},
  author = {François Guéritaud},
  journal= {arXiv preprint arXiv:1506.05663},
  year   = {2015}
}

Comments

16 pages, 2 figures. Appeared in the Proceedings of the December 2012 conference "Groups, Geometry, Dynamics" (Almora, India). Editors: C.S. Aravinda, W.M. Goldman, K. Gongopadhyay, A. Lubotzky, Mahan Mj, A. Weaver

On Lorentz spacetimes of constant curvature

Abstract

Keywords

Cite

Comments

Related papers