A Combination Theorem for Convex Hyperbolic Manifolds, with Applications to Surfaces in 3-Manifolds

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Baker, Mark; Cooper, Daryl;
(2005)
  • Related identifiers: doi: 10.1112/jtopol/jtn013
  • Subject: 30F40 (Secondary) | Mathematics - Metric Geometry | Mathematics - Geometric Topology | 57M50 (Primary)
    arxiv: Mathematics::Geometric Topology | Mathematics::Symplectic Geometry

We prove the convex combination theorem for hyperbolic n-manifolds. Applications are given both in high dimensions and in 3 dimensions. One consequence is that given two geometrically finite subgroups of a discrete group of isometries of hyperbolic n-space, satisfying a... View more
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