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- W2964014490 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 ‖ ) 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.
- W2964014490 created "2019-07-30" @default.
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- W2964014490 date "2016-12-01" @default.
- W2964014490 modified "2023-10-14" @default.
- W2964014490 title "Metric currents and Alberti representations" @default.
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- W2964014490 doi "https://doi.org/10.1016/j.jfa.2016.08.022" @default.
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