3 papers
math.DG2025
Asymptotically geodesic surfaces
Fernando Al Assal, Ben Lowe
A sequence of distinct closed surfaces in a hyperbolic 3-manifold M is asymptotically geodesic if their principal curvatures tend uniformly to zero. When M has finite volume, we sh…
math.DG2025
Existence of Minimal Surfaces in Infinite Volume Hyperbolic 3-manifolds
Baris Coskunuzer, Zheng Huang, Ben Lowe +1
The existence of embedded minimal surfaces in non-compact 3-manifolds remains a largely unresolved and challenging problem in geometry. In this paper, we address several open cases…
math.DG2023
Uniqueness and non-uniqueness for the asymptotic Plateau problem in hyperbolic space
Zheng Huang, Ben Lowe, Andrea Seppi
We prove several results on the number of solutions to the asymptotic Plateau problem in . Firstly we discuss criteria that ensure uniqueness. Given a Jordan curve …