Immersing almost geodesic surfaces in a closed hyperbolic three manifold

@article{Kahn2009ImmersingAG,
  title={Immersing almost geodesic surfaces in a closed hyperbolic three manifold},
  author={Jeremy A. Kahn and V. Markovi{\'c}},
  journal={Annals of Mathematics},
  year={2009},
  volume={175},
  pages={1127-1190}
}
Let M 3 be a closed hyperbolic three manifold. We construct closed surfaces that map by immersions into M 3 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. 

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