English

Immersing almost geodesic surfaces in a closed hyperbolic three manifold

Geometric Topology 2015-03-13 v5

Abstract

Let M be a closed hyperbolic three manifold. We construct closed surfaces which map by immersions into M so that for each one the corresponding mapping on the universal covering spaces is an embedding, or, in other words, the corresponding induced mapping on fundamental groups is an injection.

Keywords

Cite

@article{arxiv.0910.5501,
  title  = {Immersing almost geodesic surfaces in a closed hyperbolic three manifold},
  author = {Jeremy Kahn and Vladimir Markovic},
  journal= {arXiv preprint arXiv:0910.5501},
  year   = {2015}
}

Comments

One figure added and minor corrections. Probably the final version

R2 v1 2026-06-21T14:04:38.152Z