Immersing almost geodesic surfaces in a closed hyperbolic three manifold

Abstract

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.

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Authors

Jeremy Kahn

Stony Brook University, Stony Brook, NY

Current address:

Department of Mathematics, Brown University, Box 1917, 151 Thayer Street, Providence, RI 02912 Vladimir Markovic

Mathematics 253-37, California Institute of Technology, Pasadena, CA 91125