English

Nonarithmetic hyperbolic manifolds and trace rings

Geometric Topology 2018-12-19 v1

Abstract

We give a sufficient condition on the hyperplanes used in the inbreeding construction of Belolipetsky-Thomson to obtain nonarithmetic manifolds. We construct explicitly infinitely many examples of such manifolds that are pairwise non-commensurable and estimate their volume.

Keywords

Cite

@article{arxiv.1712.06470,
  title  = {Nonarithmetic hyperbolic manifolds and trace rings},
  author = {Olivier Mila},
  journal= {arXiv preprint arXiv:1712.06470},
  year   = {2018}
}

Comments

10 pages

R2 v1 2026-06-22T23:21:45.429Z