Hilbert flag varieties and their Kähler structure

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

    Research output: Book/ReportReportProfessional

    4 Citations (Scopus)
    118 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.
    Helminck, G.F. ; Helminck, A.G. ; Helminck, A.G. / Hilbert flag varieties and their Kähler structure. Enschede : University of Twente, Department of Applied Mathematics, 2002. 20 p. (Memorandum Faculty Mathematical Sciences; 1667).
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    keywords = "IR-65853, MSC-14M15, MSC-43A80, MSC-35Q58, MSC-22E65, MSC-53B35, EWI-3487, METIS-208646",
    author = "G.F. Helminck and A.G. Helminck and A.G. Helminck",
    note = "Imported from MEMORANDA",
    year = "2002",
    language = "Undefined",
    isbn = "0169-2690",
    series = "Memorandum Faculty Mathematical Sciences",
    publisher = "University of Twente, Department of Applied Mathematics",
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    Helminck, GF, Helminck, AG & Helminck, AG 2002, Hilbert flag varieties and their Kähler structure. Memorandum Faculty Mathematical Sciences, no. 1667, University of Twente, Department of Applied Mathematics, Enschede.

    Hilbert flag varieties and their Kähler structure. / Helminck, G.F.; Helminck, A.G.; Helminck, A.G.

    Enschede : University of Twente, Department of Applied Mathematics, 2002. 20 p. (Memorandum Faculty Mathematical Sciences; No. 1667).

    Research output: Book/ReportReportProfessional

    TY - BOOK

    T1 - Hilbert flag varieties and their Kähler structure

    AU - Helminck, G.F.

    AU - Helminck, A.G.

    AU - Helminck, A.G.

    N1 - Imported from MEMORANDA

    PY - 2002

    Y1 - 2002

    N2 - 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.

    AB - 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.

    KW - IR-65853

    KW - MSC-14M15

    KW - MSC-43A80

    KW - MSC-35Q58

    KW - MSC-22E65

    KW - MSC-53B35

    KW - EWI-3487

    KW - METIS-208646

    M3 - Report

    SN - 0169-2690

    T3 - Memorandum Faculty Mathematical Sciences

    BT - Hilbert flag varieties and their Kähler structure

    PB - University of Twente, Department of Applied Mathematics

    CY - Enschede

    ER -

    Helminck GF, Helminck AG, Helminck AG. Hilbert flag varieties and their Kähler structure. Enschede: University of Twente, Department of Applied Mathematics, 2002. 20 p. (Memorandum Faculty Mathematical Sciences; 1667).