4.7 Article

Immersing almost geodesic surfaces in a closed hyperbolic three manifold

Journal

ANNALS OF MATHEMATICS
Volume 175, Issue 3, Pages 1127-1190

Publisher

Princeton Univ, Dept Mathematics
DOI: 10.4007/annals.2012.175.3.4

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Funding

  1. NSF [DMS-0905812]
  2. Division Of Mathematical Sciences
  3. Direct For Mathematical & Physical Scien [0905812] Funding Source: National Science Foundation

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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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