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- W2122072558 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 $mathscr{X}(|T|)$ 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." @default.
- W2122072558 created "2016-06-24" @default.
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- W2122072558 date "2014-03-30" @default.
- W2122072558 modified "2023-09-23" @default.
- W2122072558 title "Metric Currents and Alberti representations" @default.
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