Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589542 | Journal of Functional Analysis | 2016 | 75 Pages |
Abstract
We relate Ambrosio–Kirchheim metric currents to Alberti representations and Weaver derivations. In particular, given a metric current T , we show that if the module X(‖T‖)X(‖T‖) of Weaver derivations is finitely generated, then T can be represented in terms of derivations; this extends previous results of Williams. Applications of this theory include an approximation of 1-dimensional metric currents in terms of normal currents and the construction of Alberti representations in the directions of vector fields.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Andrea Schioppa,