A combination theorem for convex hyperbolic manifolds, with applications to surfaces in 3-manifolds

Article, Preprint English OPEN
Baker , Mark D.; Cooper, , Daryl;
(2008)
  • Publisher: Oxford University Press
  • Related identifiers: doi: 10.1112/jtopol/jtn013
  • Subject: [ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT] | 30F40 (Secondary) | Mathematics - Metric Geometry | Mathematics - Geometric Topology | 57M50 (Primary)
    arxiv: Mathematics::Geometric Topology

International audience; We prove the convex combination theorem for hyperbolic n-manifolds. Applications are given both in high dimensions and in three dimensions. One consequence is that given two geometrically finite subgroups of a discrete group of isometries of hype... View more
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