Periods of $L^2$-forms in an infinite-connected planar domain: Périodes de formes $L^2$ dans un domaine plan infiniment connexe

    Research output

    1 Citation (Scopus)

    Abstract

    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
    Publication statusPublished - Nov 2016

    Scopus subject areas

    • Mathematics(all)
    • Analysis
    • Geometry and Topology

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