Immersing almost geodesic surfaces in a closed hyperbolic three manifold

2009/10/28 by Jeremy Kahn, Kahn, Jeremy, Vladimir Markovic +1 · 11 citations
Mathematics · #20H10 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:20H10

paper · pdf · doi:10.48550/arxiv.0910.5501

One figure added and minor corrections. Probably the final version

arxiv created 2011/06/09 · arxiv updated 2015/03/13

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.

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