Hilbert flag varieties and their Kähler structure

G.F. Helminck, A.G. Helminck, A.G. Helminck

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    4 Citations (Scopus)
    130 Downloads (Pure)

    Abstract

    In this paper we introduce the infinite-dimensional flag varieties associated with integrable systems of the $KdV$- and $Toda$-type and we discuss the structure of these manifolds. As an example we treat the Fubini-Study metric on the projective space associated with a separable complex Hilbert space and we conclude by showing that all flag varieties introduced before possess a K\"{a}hler structure.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages20
    ISBN (Print)0169-2690
    Publication statusPublished - 2002

    Publication series

    NameMemorandum Faculty Mathematical Sciences
    PublisherUniversity of Twente, Department of Applied Mathematics
    No.1667
    ISSN (Print)0169-2690

    Keywords

    • IR-65853
    • MSC-14M15
    • MSC-43A80
    • MSC-35Q58
    • MSC-22E65
    • MSC-53B35
    • EWI-3487
    • METIS-208646

    Cite this

    Helminck, G. F., Helminck, A. G., & Helminck, A. G. (2002). Hilbert flag varieties and their Kähler structure. (Memorandum Faculty Mathematical Sciences; No. 1667). Enschede: University of Twente, Department of Applied Mathematics.