English

Curvature bounds for surfaces in hyperbolic 3-manifolds

Geometric Topology 2010-11-23 v2

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.

Keywords

Cite

@article{arxiv.math/0703208,
  title  = {Curvature bounds for surfaces in hyperbolic 3-manifolds},
  author = {William Breslin},
  journal= {arXiv preprint arXiv:math/0703208},
  year   = {2010}
}

Comments

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

R2 v1 2026-07-22T17:52:19.406Z