2 papers
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.AP2026
A Sudakov Decomposition in Riemannian Manifolds with Positive Curvature
Zhengyao Huang
In this paper, we study Monge's problem on Riemannian manifolds with positive sectional curvature. Assuming that the source and target measures are absolutely continuous w…