Immersing almost geodesic surfaces in a closed hyperbolic three manifold


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.


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