English

Metric currents and polylipschitz forms

Metric Geometry 2019-10-11 v2 Functional Analysis

Abstract

We construct, for a locally compact metric space XX, a space of polylipschitz forms Γˉc(X)\bar\Gamma^*_c(X), which is a pre-dual for the space of metric currents of D(X)\mathscr{D}_*(X) Ambrosio and Kirchheim. These polylipschitz forms may be seen as a substitute of differential forms in the metric setting.

Keywords

Cite

@article{arxiv.1902.06106,
  title  = {Metric currents and polylipschitz forms},
  author = {Pekka Pankka and Elefterios Soultanis},
  journal= {arXiv preprint arXiv:1902.06106},
  year   = {2019}
}

Comments

36 pages. arXiv admin note: text overlap with arXiv:1809.03009

R2 v1 2026-06-23T07:42:38.975Z