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    Lie Equations, Vol. I: General Theory
    Lie Equations, Vol. I: General Theory
    Lie Equations, Vol. I: General Theory
    Ebook311 pages8 hours

    Lie Equations, Vol. I: General Theory

    By Antonio Kumpera and Donald Clayton Spencer

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    About this ebook

    In this monograph the authors redevelop the theory systematically using two different approaches. A general mechanism for the deformation of structures on manifolds was developed by Donald Spencer ten years ago. A new version of that theory, based on the differential calculus in the analytic spaces of Grothendieck, was recently given by B. Malgrange. The first approach adopts Malgrange's idea in defining jet sheaves and linear operators, although the brackets and the non-linear theory arc treated in an essentially different manner. The second approach is based on the theory of derivations, and its relationship to the first is clearly explained. The introduction describes examples of Lie equations and known integrability theorems, and gives applications of the theory to be developed in the following chapters and in the subsequent volume.

    LanguageEnglish
    PublisherPrinceton University Press
    Release dateMar 2, 2016
    ISBN9781400881734
    Lie Equations, Vol. I: General Theory

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