Curvature bounds for surfaces in hyperbolic 3-manifolds

Abstract

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.

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

Cited by in corpus (2)

• On the classification of Heegaard splittings
• Effective Finiteness of irreducible Heegaard splittings of non Haken 3-manifolds