Intersections in hyperbolic manifolds
classification
🧮 math.GT
keywords
hyperbolicmanifoldsbundlesclosedcurveddimensionfinitelygreater
read the original abstract
We obtain some restrictions on the topology of infinite volume hyperbolic manifolds. In particular, for any n and any closed negatively curved manifold M of dimension greater than 2, only finitely many hyperbolic n-manifolds are total spaces of orientable vector bundles over M.
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