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

*Baker, Mark*;

*Cooper, Daryl*;

Related identifiers: - 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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University of California-Santa Barbara ( UCSB ) United StatesWebsite url: https://www.ucsb.edu/73% - Metrics

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