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    Differential Systems and Isometric Embeddings.(AM-114), Volume 114
    Differential Systems and Isometric Embeddings.(AM-114), Volume 114
    Differential Systems and Isometric Embeddings.(AM-114), Volume 114
    Ebook226 pages3 hours

    Differential Systems and Isometric Embeddings.(AM-114), Volume 114

    By Phillip A. Griffiths and Gary R. Jensen

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    The theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial differential equations that arise in differential geometry. Adaptation of the techniques of microlocalization to differential systems have led to recent activity on the foundations of the theory; in particular, the fundamental role of the characteristic variety in geometric problems is now clearly established. In this book the general theory is explained in a relatively quick and concrete manner, and then this general theory is applied to the recent developments in the classical problem of isometric embeddings of Riemannian manifolds.

    LanguageEnglish
    PublisherPrinceton University Press
    Release dateMar 2, 2016
    ISBN9781400882106
    Differential Systems and Isometric Embeddings.(AM-114), Volume 114

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