Let Ω⊂R2 be a countably-connected domain. In Ω, consider closed differential forms of degree 1 with components in L2(Ω). Further, consider sequences of periods of such forms around holes in Ω, i.e. around bounded connected components of R2∖Ω. For which domains Ω the collection of such a period sequences coincides with ℓ2? We give an answer in terms of metric properties of holes in Ω.

Original languageEnglish
Pages (from-to)1060-1064
Number of pages5
JournalComptes Rendus Mathematique
Volume354
Issue number11
DOIs
StatePublished - Nov 2016

    Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Geometry and Topology

ID: 36498022