2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.DG2025
On a conjecture of Almgren II: area-minimizing submanifolds with fractal singular sets on almost any manifold
Zhenhua Liu
This paper is the second in a two-part solution to Almgren's conjecture on the existence of area-minimizing submanifolds with fractal singular sets. In part one, we construct area-…
math.DG2024
Homologically area-minimizing surfaces mod have at worst codimension 2 singular sets asymptotically
Zhenhua Liu
De Lellis and coauthors have proved a sharp regularity theorem for area-minimizing currents in finite coefficient homology. They prove that area-minimizing mod currents are smo…
math.DG2023★ 2 cited
Homologically area-minimizing surfaces that cannot be calibrated
Zhenhua Liu
In 1974, Federer proved that all area-minimizing hypersurfaces on orientable manifolds were calibrated by weakly closed differential forms. However, in this manuscript, we prove th…