Immersing almost geodesic surfaces in a closed hyperbolic three manifold
Annals of mathematics, Tome 175 (2012) no. 3, pp. 1127-1190.

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Let $\mathbf{M}^3$ be a closed hyperbolic three manifold. We construct closed surfaces that map by immersions into $\mathbf{M}^3$ 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.
DOI : 10.4007/annals.2012.175.3.4

Jeremy Kahn 1 ; Vladimir Markovic 2

1 Stony Brook University, Stony Brook, NY
2 Mathematics 253-37, California Institute of Technology, Pasadena, CA 91125
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Jeremy Kahn; Vladimir Markovic. Immersing almost geodesic surfaces in a closed hyperbolic three manifold. Annals of mathematics, Tome 175 (2012) no. 3, pp. 1127-1190. doi : 10.4007/annals.2012.175.3.4. http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.175.3.4/

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