5 citations · 11 across the 4 of their papers we have counts for
5 papers
Principal curvatures of fibers and Heegaard surfaces
William Breslin
We study principal curvatures of fibers and Heegaard surfaces smoothly embedded in hyperbolic 3-manifolds. It is well known that a fiber or a Heegaard surface in a hyperbolic 3-man…
Short geodesics in hyperbolic 3-manifolds
William Breslin
For each , we prove existence of a computable constant such that if is a strongly irreducible Heegaard surface of genus in a complete hyperbolic 3-manif…
Small curvature laminations in hyperbolic 3-manifolds
William Breslin
We show that if is a codimension-one lamination in a finite volume hyperbolic 3-manifold such that the principal curvatures of each leaf of are all in t…
Thick triangulations of hyperbolic n-manifolds
William Breslin
We show that a complete hyperbolic n-manifold has a geodesic triangulation such that the tetrahedra contained in the thick part are L-bilipschitz diffeomorphic to the standard Eucl…
Curvature bounds for surfaces in hyperbolic 3-manifolds
William Breslin
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 i…