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math.DG2026
Macroscopic scalar curvature bounds on surfaces
Otis Chodosh, Noa Vikman
We prove the generalized Geroch conjecture, and the corresponding hyperbolic conjecture, in dimension two.
math.DG2025
Energy minimizing harmonic 2-spheres in metric spaces
Damaris Meier, Noa Vikman, Stefan Wenger
In their seminal 1981 article, Sacks-Uhlenbeck famously proved the existence of non-trivial harmonic 2-spheres in every closed Riemannian manifold with non-zero second homotopy gro…