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math.DG2026
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.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…