2015/08/04 by Andrea Schioppa, Schioppa, Andrea
Mathematics · #49Q15 #53C23 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Metric Geometry (math.MG)
paper · pdf · doi:10.48550/arxiv.1508.00756
openalex publication_date 2015/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct new examples of normal (metric) currents using inverse systems of cube complexes. For any N≥ 2 we provide examples of N-dimensional normal currents whose associated vector fields are simple, and whose supports are purely 2-unrectifiable and have Nagata dimension N. We show that in l^∞ normal currents can be realized as limits in the flat distance of currents associated to cube complexes.