English

Tits Geometry, Arithmetic Groups and the Proof of a Conjecture of Siegel

Differential Geometry 2007-05-23 v1 Metric Geometry

Abstract

We show that a locally symmetric space of noncompact type and with finite volume is quasi-isometric to the euclidean cone over a finite simplicial complex. A detailed analysis of metric properties yields a proof of a conjecture of Siegel.

Keywords

Cite

@article{arxiv.math/0211340,
  title  = {Tits Geometry, Arithmetic Groups and the Proof of a Conjecture of Siegel},
  author = {E. Leuzinger},
  journal= {arXiv preprint arXiv:math/0211340},
  year   = {2007}
}

Comments

23 pages