Immersing almost geodesic surfaces in a closed hyperbolic three manifold

Details Immersing almost geodesic surfaces in a closed hyperbolic three manifold Immersing almost geodesic surfaces in a closed hyperbolic three manifold

2009-10-28

arxiv.org/abs/0910.5501v5

Mathematics

Geometric Topology

One figure added and minor corrections. Probably the final version

Scientific paper

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.

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