English

Embedding arithmetic hyperbolic manifolds

Geometric Topology 2019-10-22 v6 Differential Geometry Group Theory

Abstract

We prove that any arithmetic hyperbolic nn-manifold of simplest type can either be geodesically embedded into an arithmetic hyperbolic (n+1)(n+1)-manifold or its universal mod 2\mathrm{mod}~2 Abelian cover can.

Keywords

Cite

@article{arxiv.1703.10561,
  title  = {Embedding arithmetic hyperbolic manifolds},
  author = {Alexander Kolpakov and Alan W. Reid and Leone Slavich},
  journal= {arXiv preprint arXiv:1703.10561},
  year   = {2019}
}

Comments

20 pages; revised version, typos corrected; Mathematical Research Letters vol. 25, no. 4

R2 v1 2026-06-22T19:02:30.918Z