2011/10/06 by Enrico Le Donne, Donne, Enrico Le
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Point processes and geometric inequalities #math.DG #math.MG
paper · pdf · doi:10.48550/arxiv.1110.1334
Oberwolfach report
arxiv created 2011/10/06 · openalex publication_date 2011/10/06 · arxiv updated 2011/10/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
This short note has been written as an Oberwolfach report for the workshop "Differentialgeometrie im Grossen". We discuss properties of metric spaces that at almost all points admit a tangent metric space. We explain why, under some mild assumptions, the tangents are almost surely subFinsler Carnot groups. We mention several situations when the tangents are Euclidean spaces, but the initial metric spaces are quite pathological.