Super Darboux-Egoroff equations and solutions

P.H.M. Kersten, Ruud Martini

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    Abstract

    Super Darboux-Egoroff equations are discussed. First of all linearity of the potential $\varphi$ with respect to odd variables is proved. Solutions of Darboux-Egoroff equations in dimension $(2|2)$ including flatness of the unit vector field are constructed. Moreover solutions of Darboux-Egoroff equations in the presence of an Euler vector field are given. In dimension $(3|3)$ solutions of Darboux-Egoroff equations including flatness of unit and presence of Euler field are given.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages19
    Publication statusPublished - 1998

    Publication series

    NameMemorandum / Department of Applied Mathematics
    PublisherUniversity of Twente, Department of Applied Mathematics
    No.1472
    ISSN (Print)0169-2690

    Keywords

    • METIS-141323
    • MSC-35G99
    • MSC-35G25
    • EWI-3292
    • IR-65661

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