Calculus of Variations and Geometric Measure Theory
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E. Le Donne

Geodesic metric spaces with unique blow-up almost everywhere: properties and examples

created by ledonne on 21 Dec 2018

[BibTeX]

preprint

Inserted: 21 dec 2018

Year: 2011

ArXiv: 1110.1334 PDF

Abstract:

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.

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