Curvature bounds for surfaces in hyperbolic 3-manifolds

Mathematics – Geometric Topology

Scientific paper

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Details

21 pages, 9 figures, published version, added figures, fixed typos

Scientific paper

10.4153/CJM-2010-056-8

We prove existence of thick geodesic triangulations of hyperbolic 3-manifolds
and use this to prove existence of universal bounds on the principal curvatures
of surfaces embedded in hyperbolic 3-manifolds.

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